Not OP, but if I recall correctly, the UAE has a de facto moratorium on using the death penalty to deal with these cases. I mean, you can do to the craigslist for the country and you'll see a lot of gay people openly seeking homosexual relations, with their contact details and everything. Do you think they would do that if there was a real threat to their life of doing that? Dubai has a bit of a reputation for having a very... active gay scene.
I think muslims aren't allowed to hate gay men. They can hate the act of having homosexual relations, but if someone says that they have homosexual desires but there is no proof that they acted on them, then they cannot be blamed since they having a desire is not a crime. While some scholars have said that homosexual convicted of having same-sex intercourse should be punished as adulterers, but that is not a general rule that can be applied in every circumstance, in every place, in every time. The Shari'ah is not a rigid set of laws, stagnant, not changing. They must be adapted.
But IINAL, so yeah.
This was the point concerning Turing-
I believe it is a certainty that "he could not have done his work in an Islamic country" and that of course has tremendous consequences.
However, perhaps our friends could prove the opposite. Can they point to an openly gay scientist doing work of such proportions in the Muslim world?
Let's extend that. Openly gay sports starts? TV stars? Whatever. But none of these would have had the nearly unthinkable effect of the computer being invented or not being invented......
So my direction of concern was more the detriment to society, the way it would be held back, by it's not allowing gays to contribute, by it's not allowing education to women ---- rather than whether some guys were permitted to go off in some corner and have "fun" without getting in trouble with the law....