Shariah (which actually translates into Islamic law so saying Shariah law is like saying Islamic law law) punishment for adultery matches that of the bible, stoning to death. Am not sure what criteria the Bible has for carrying out the punishment but in Shariah, its almost impossible to do it.
For it be carried out, 4 Muslim adult men known amongst their community for being pious must witness the actual act of intercourse, seeing two people in bed is not enough, you also can't peek through windows or spy on people (the sanctity of ones home and privacy is big deal in Islam), even if you're in an orgy none of the witness accounts count because your admitting to not being pious.
The only way I can see the death penalty being carried out is if those two or more people started having sex in a public place.
There is another way though and that is when a husband or wife accuse each other of adultry, the Quran says:
As for those who accuse their wives but have no witnesses except themselves, they (must) bear witness four times (with an oath) by God that they are surely telling the truth and the fifth (oath) that they solemnly invoke the curse of God on themselves if they tell a lie. But the punishment will be averted from her if she bears witness four times (with an oath) by God that (her husband) is surely telling a lie. And the fifth (oath) that she solemnly invokes the wrath of God on herself if he is telling the truth (24:6-9).
So no, Islam punishes adultery equally and doesn't specifically target women, more over it almost impossible to convict someone of adultery and carry out the sentence under those laws.
Simply put when you have a history of a radical element doing these kind of things, then you need to question was it the radical element as well as was it a hate crime.
You know the time is right to take control, we gotta take offense against the status quo
Originally Posted by A. de Tocqueville
Let alone kill his wife for for mere suspicion.These murders exist in all cultures regardless of religion, even in the ME Christians commit them as well. So its unfair to say they're influenced by Sharia (as horrible as it is).