I am a Muslim woman and I know it for a fact that I am not allowed being a Muslim to marry any man who is not a Muslim. If I do that, I would probably be stoned to death for commiting adultury.
As far as homosexuality is concerned, I know it for a fact how common it is in the Middle east.. It is spread everywhere in the world, even in my country Pakistan. You can't deny it.. And you can't turn a blind eye or perhaps you can that is what people do.. They just chose to turn a blind eye.