"Sharia" is the Arabic word for "law", so "Sharia law" just means "law law", or at least "law in places that speak Arabic" which is at least a little bit specific.

Sharia law actually has some good ideas in it. I think we should investigate Islamic banking and see if any of it would improve our economies. Because charging interest is forbidden in Islam, many of them do mortgages as a rent to own system instead, which leaves the bank on the hook if the house value crashes, instead of the buyer, so banks don't give out stupidly big mortgages that you might not want to pay back.

Look it up if you don't believe me: https://en.wikipedia.org/wiki/Islamic_marital_jurisprudence . There's no splitting-half-assets in sharia law, instead on divorce the payment is based on what was agreed upon before the marriage, plus child maintenance.

It's truly a mistery.

That's not part of Sharia law. In Islam the crime of sex outside of marriage requires a public penetrative act that is witnessed by 4 adults; basically equivalent to having sex in public in the west which is a jailable offense in many US states.

Alternatively, the accused could both do a confession in front of a judge 4 separate times but they can retract this confession at any time and avoid any punishment.