Might I also add....we speak as if we already know what the Sharia is. Do we really understand it? What we've seen of it is primarily of implentation by a) The Saudis (who really haven't had a great track record of ANYTHING) b) Taliban (they speak for themselves) and c) to some extent Sudan\Somilia. Some laws within the Sharia are seen as universal (ban on drinking) because they exist explicity within the Quran, and many others fall under "scholarly interpreation"
Where the biggest problems exist is in a) the improper application of the explict laws by selectively choosing WHAT to apply b) Adapation of scholarly interpreations from the PAST to today and c) arguments to the application of the law in the first place
One of the classical cases is dealing with a theif. Plainly put: a theif has his hand cut off. It is often emphasized with this:
5-38 As to the thief, Male or female, cut off his or her hands: a punishment by way of example, from Allah, for their crime: and Allah is Exalted in power.
We hear this, and our media raves on and on about how barbaric it is. In fact, it is what I sometimes hear from some Muslims.
But
WE OFTEN FORGET THIS PART , but its not hard to forget...its only the
next verse that exists right after it specifically following through
5-39 But if the thief repents after his crime, and amends his conduct, Allah turneth to him in forgiveness; for Allah is Oft-forgiving, Most Merciful.

What do we have now? If a thiefs says he is sorry...and stops stealing something...then he is forgiven. That is all.
So when does the law apply? For those who don't "say they are sorry"...if someone stole my possession and GLAD they were did it and don't express ANY remorse and would do it again... my God I would see why we want to cut off the hand! The law applies to those who express no remorse for their actions, and those who continue to repeatedly steal even after several instances of being caught (note that he has to be caught).
To make it sound like you can lose your hand for a candy bar simply isn't true.
I also don't want to comment too much further without learning aobut he inner workings of Sharia because I am no scholar...I can only point out some obvious things
One thing I will point out is that adultery must first be proven: 4 witness must have obersved it occur or else the charge CANNOT be brought forth. Now unless you are having a peep party, getting four witnesses is a ridiculously tough act. And if the man OR women cannot produce four witnesses: the punishment is something like 80-100
lashes on a back (a far cry from death) for bringing about libel of this magnitude.
A man OR woman CAN bring charges against their husband/wife with less than that number IF they swear to God 4 times that they are not bullsh*tting...but the accused man OR woman can do the same to defend his or herself.
Btw here are the Quran verses...
024.004
YUSUFALI: And those who launch a charge against chaste women, and produce not four witnesses (to support their allegations),- flog them with eighty stripes; and reject their evidence ever after: for such men are wicked transgressors;-
024.005
YUSUFALI: Unless they repent thereafter and mend (their conduct); for Allah is Oft-Forgiving, Most Merciful.
024.006
YUSUFALI: And for those who launch a charge against their spouses, and have (in support) no evidence but their own,- their solitary evidence (can be received) if they bear witness four times (with an oath) by Allah that they are solemnly telling the truth;
024.007
YUSUFALI: And the fifth (oath) (should be) that they solemnly invoke the curse of Allah on themselves if they tell a lie.
024.008
YUSUFALI: But it would avert the punishment from the wife, if she bears witness four times (with an oath) By Allah, that (her husband) is telling a lie;
024.009
YUSUFALI: And the fifth (oath) should be that she solemnly invokes the wrath of Allah on herself if (her accuser) is telling the truth.
It is interesting to follow through with the rest of the passage...but the topic slowly switches to talking(for the next 20ish verses) about oath and telling lies and how no matter how much you lie and deceive you will get eventually get pwened
I think the biggest disagreement that exists is simply the view of these actions..ie: part C. Let us say we have a Joe Schmoe, and 4 unique individuals confirm they witnessed it, and for the sake of argument he DID commit adultery. From an Islamic standpoint: she screwed the pooch. In this society we are taught to think none of it, for if adultery was truly a deplorable thing we would not have such high rates of it. Go to places like "no marraige.com" (some interesting reads lol...) and it is even encouraged that men divorce. It is at this point that disagreement occurs, simply because Islam doesn't agree with that.
Although, I wouldn't be suprised somewhere if there was a clause that said "if they repent...leave them for God is the most forgiving"
Personally I don't care what system I live in. I have no problem with my current system, because ultimately I hope I had my own compass...and that we all, regardless of the level at which we punish something, have basic notions of right and wrong~ and that stealing and adultery fall into that category of wrong.
The Sharia has a lot of BS accusations around it, but at the same time in recent history we can only point to Saudi Arabia and the Taliban as examples...and we should know they aren't good examples for absolutely anything beyond how NOT to do things. I think that what the people themselves think of Sharia is probably not to the magnitude that the media wants to hype...