Under Sharia Law:
There is no freedom of religion
There is no freedom of speech
There is no freedom of thought
There is no freedom of artistic expression (no art – pictures, music, literature etc.)
There is no freedom of the press
There is no equality of peoples – a non-muslim (a kafir) is never equal to a muslim; women are equal to half a man
There is no equal protection under sharia law for different classes of people. Justice is dualistic, with one set of laws for muslim males and different laws for women and non-muslims
There are no equal rights for women
Women can be beaten
A non-muslim cannot bear arms
There is no democracy, since democracy means that a non-muslim is equal to a muslim
Our Constitution is a man-made document of ignorance (jahiliyah) that must submit to sharia
Non-muslims are dhimmis, third-class citizens
All governments must be ruled by sharia law
Unlike common law, sharia is not interpretive, nor can it be changed

There is no Golden Rule
Note that Article 6 of the U.S. Constitution states that the Constitution is the highest law of the land and cannot be subjugated to any other legal code.
Note also that the fundamental claim of sharia is that it is the highest law in the world and that all other legal codes must submit to islamic law.
Reference: This material was summarized from Bill Warner, "Sharia Law for Non-Muslims," Center for the Study of Political Islam, 2010.

More Details
Women; Wife Beating
Men superior; wife to be fully obedient; prisoners of men; no questions
Koran 4:34; Abu Dawud 11, 2142; Bukhari 7, 62, 132

The Doctrine of Women
Judges to be a male freeman 022.1
Women's testimony worth half a man, because woman's mind is deficient 04.9
Divide the universal share so that the male receives the portion of 2 females L10.3; Koran 4:11
Women equate to camels and slaves Abu Dawud 11, 2155
Women inferior to men in intelligence and religion Bukhari 1,6,301
Woman's testimony worth half a man 2:282
Female Genital Mutilation, Female Circumcision Bukhari 7,72,779; Muslim 003, 0684; e4.3
Penalty for Fornication – stoning Muslim 017, 4206
Honor Killing (indirectly referenced; no penalty for killing an adulterer) O5.4; e12.8; Bukhari 8,82,829 and 9,93,512

Family Law
Guardians of 2 types – those who may compel female charges to marry someone, and those who may not m3.13
Unlawful for a man to marry more than 4 women m6.10
May not marry prepubescent daughter for less than the amount typically received m8.2

Adultery Punishable by stoning
Bukhari 3,38,508; 8,82,803

Husband may forbid wife to leave the home m10.4
Conjugal Rights, Wife's Marital Obligations Obligatory to have sex immediately when he asks, they are at home and she can physically endure it
m5.1, Abu Dawud 11, 2138; 2139
The most important thing a woman brings to the marriage is her vagina Bukhari 7,62,81
Allah curses the woman who resists sex Bukhari 7,62,121
Mohammed at 51 proposed marriage to Aisha when she was 6 years old Bukhari 7,62,18 The Kafir (Unbeliever)
Allah hates kafirs and detests them w59.2
Allah hates the Kafir, therefore, a muslim is to act accordingly 40:35
It is not permissible to give charity to a kafir h8.24
A kafir can be mocked 83:34
A kafir can be beheaded 47:4
A kafir can be plotted against 86:15
A kafir can be terrorized 8:12
A muslim is not the friend of a kafir 3:28
A kafir is evil 23:97
A kafir is disgraced 37:18
A kafir is cursed 33:60

Jihad
Jihad means war against kafirs to establish islam's sharia law Koran 2:216; 4:89
The whole world must submit to islam; kafirs are the enemy simply by not being muslims. Violence and terror are made sacred by the koran. Peace comes only with submission to islam. Muslim 001,0031; Bukhari 4,52,142
Jihad is Obligatory 4:95
Anyone who arms a jihadist is rewarded just as a fighter would be; anyone who gives proper care to a holy warrior's dependents is rewarded just as a fighter would be Bukhari 4,52,96
All sane able bodied men who have reached puberty are obliged to fight In jihad 09.4
The objectives of Jihad
The caliph makes war on the Jews and Christians. First invite them to pay the tax on kafirs. If they reject conversion and the tax, then attack them. The caliph fights all other peoples until they become muslims 09.8; Koran 9:29; 09.9

The spoils of war
Anyone who kills or incapacitates a kafir can take whatever he can (theft from a kafir is jihad) 010.2; Koran 8:41
A muslim martyr is one who kills for allah and islam. If the killing is pure (dedicated to allah), the jihadist will attain paradise or be able to take the wealth of the kafir
Bukhari 1,2,35; Koran 61:10

Over the last 1400 years, jihad has killed:
Christians 60 million
Hindus 80 million
Buddists 10 million
Africans 120 million
Total 270 million

Submission and Dualism
The entire world must submit to sharia
Sharia holds 2 sets of laws – one for muslims and one for kafirs. Koran 73:10; 8:12
A muslim is a brother to other muslims Bukhari 9,85,83
A man who brings peace to the people by making up good words or by saying nice things, though untrue, does not lie Bukhari 3,49,857
An oath by a muslim is flexible Bukhari 8,78,618
Mohammed repeatedly told muslims to deceive kafirs, when it would advance islam Bukhari 5,59,369; 4,52,268

Friends
A muslim is not the friend of a kafir Koran 4:144, 3:28
Enslavement A kafir may be enslaved, but not a muslim Bukhari 3,46,693
Sacred Love and Sacred Hate – "This includes having an aversion to Kafir political systems, such as Constitutional law and loving Sharia law. This principle is behind the Islamic demands for implementation of Sharia in America. No matter what the Kafir way is, it is not to be imitated, since Allah hates all manifestations of Kafirs."

The Dhimmi
Kafir are subjects of the islamic state 011.0
A formal contract (dhimma) with Christians and Jews, then they are dhimmis o11.1
The dhimmis must follow the rules of islam
Pay the poll tax (50% of income)
Allowed to practice religion, hold their own courts and laws (but subservient to sharia) o11.3
Treaty of Umar – Dhimmi with Christians in 637 AD:
Cannot build, in our cities or their neighborhoods, new monasteries, churches, convents or monk's cells, nor shall we repair them.
Keep gates open for passersby and travelers; give board and lodging to all muslims for 3 days
Not give shelter in churches or dwellings to a spy, or hide them from muslims
Not manifest our religion publicly nor convert anyone to it
Not prevent any of our kin from entering islam if they wish it
Show respect toward muslims, and rise from our seats when they wish to sit
Not imitate muslims by wearing their clothing
Not mount on saddles, nor bear arms
Not engrave any arabic inscriptions on our seals
Not sell alcohol
Clip the fronts of our hair (as a sign of humiliation)
Wear special clothing
Not display crossesor books in the roads or markets of muslims; keep church services quiet, don't cry out for the dead, don't take slaves allotted to muslims
Not build houses higher than the house4s of muslims
Whoever strikes a muslim with deliberate intent shall forfeit the protection of this pact
From Al-Turtushi, Siraj Al-Muluk, p.229-30
In addition, dhimmi could not testify in a sharia court and had no recourse against a muslim; could not criticize Mohammed or speak with a muslim about Christianity. This is how Turkey, Egypt, North Africa, Lebanon, Syria, Iraq and Ethiopia became islamic.

Slavery
Mohammed and slavery
Mohammed had non-believing men killed so their women and children could be made slaves
He gave slaves away for gifts
He owned many slaves
He passed around slaves for the purpose of sex to his companions
He stood by while others beat slaves
He shared the pleasure of forced sex with women slaves after conquest
He captured slaves and wholesaled them to raise money for jihad
Etc….

A. Guillaume, The Life of Muhammed, 466
Islam and slavery
Islam enslaved Africans, Europeans, Hindus, Buddhists, and anyone else who was in the path of jihad
Islam has enslaved more people than any other culture
Islam still practices slavery in Africa. It is found in Saudia Arabia, Mauritania, the Sudan and other islamic areas that are near kafirs.
Historically, it was the political actions of Christians that ended slavery.
Bernard Lewis, Race and Slavery in the Middle East, 79
Freedom of Ideas
Apostasy from islam
When a person who reaches puberty and is sane, voluntarily apostatizes from islam, he deserves to be killed 08.1
When Mohammed died, entire tribes wanted to leave islam. The first wars fought by islam were against these apostates, and thousands were killed
Bukhari 2,23,483; 9,83,17
No punishment is too great for the apostate Bukhari 8,82,797
Kill the apostate Bukhari 9,89,271

Art
Musical instruments are to be done away with r40.1, 40.2
The prohibition of picture making is extremely severe w50.1; Bukhari 7,72,843
No pictures imitating the creative act of allah (animals, etc.) w50.2; Bukhari 4,54,447
Those who make pictures will burn in hell p44.1; Bukhari 8,73,130

Literature
All literature must submit to the demands of sharia Bukhari 5,59,369
Mohammed issued death warrants for those in Mecca who opposed him, including all artists and political figures who had opposed him Ishaq819

Sharia Finance
Sharia finance must put part of its profits into islamic charity, for (muslims only) the poor and needy, those who collect the charity, those whose hearts are won to islam, for ransoms, for debtors, for jihad, and for the traveler. Koran 9:60
Islamic charity for those fighting for allah h8.17
Not permissible to give charity to a kafir h8.24
Muslims can pay interest if they live in a land of war (e.g., America). (Note that the kafir financial system must be destroyed) W43.0, w43.1

Demands
First amendment (freedom of religion; however, every religious demand has a political component – e.g., islamic prayer-in schools, on streets, etc.).
Note that it is permissible for muslims to make up missed prayers f15.17
Mohammed's special gifts from allah:
Victorious by awe; enemies frightened far away
The earth has been made for me and my followers…, therefore, any of my followers can pray wherever the time of a prayer is due
The spoils of war has been made lawful for me yet it was not lawful for anyone else before me
I have been given the right of intercession on the Day of Resurrection
Every prophet used to be sent to his nation only but I have been sent to all mankind Bukhari 1,7,331

Note that Article 6 of the U.S. Constitution states that the Constitution is the highest law of the land and cannot be subjugated to any other legal code. Note also that the fundamental claim of sharia is that it is the highest law in the world and that all other legal codes must submit to islamic law.

References:
This material was summarized from Bill Warner, "Sharia Law for Non-Muslims," Center for the Study of Political Islam, 2010. Islamic references are:
Sharia law - "Reliance of the Traveller" is a classic Sharia Law text. References appear as O8.0, o8.1, etc.
The hadiths (there are 6 of them) describe what Mohammed said or did, e.g. Bukhari 9,83,17
The Koran, e.g. Koran 2:216, or just 83:34
The Sira – Mohammed's biography, "The Life of Muhammed by A. Guillaume). E.g. marginal notes, Ishaq969