Well, GODLINESS encompasses any religion that believes in God.
No, because there is no godliness without Christ.
There's religiosity, but godliness is a character trait, not a set of actions or a belief system. So believing in a deity does not by default equate to godliness. And no, not any religion can impart it.
And besides, your contention that the sex drive is responsible for this sort of thing is also wrong because the sex drive is just a drive which all creatures share, and you don't see sex slavery and exploitation of young in the animal kingdom.
The problem is NOT the sex drive, which in itself is morally neutral, but the corruption of it and the misuse of it.
The real problem is a corrupt and twisted human nature, not a natural drive to reproduce.
The corrupt human nature misuses the natural sex drive as a weapon with which to hurt people. It's considered a well known fact that rape isn't about sex, but about power.
I would be surprised if you had not heard that because that's been known for many decades.
That's your opinion. A millions Jews and Muslims would disagree. I don't care one way or another. As for the animal kingdom, I doubt you know it top to bottom, inside and out, backward and forward, every grotto from time immemorial, but even if you were right, it would only tell me that men are worse than animals, and I could have told you that.