Don't like having your use of logical fallacy pointed out, do you? That's unfortunate. Recognizing your use of logical fallacy really is an important concept to understand if you want to avoid deceiving yourself with presumed cleverness.
"My Point A: Rape is bad."
Clearly implied in the Sodom & Gomorrah narrative. You seriously thought that was a point that needed to be made?
"My Point B: The prose in the Bible is hyperbolic at times."
And I thought you were trying to say, "Perhaps the angels were bent on reaping havoc on a wicked city instead of a bunch of homos?"
The passage from Genesis was explicitly clear: it said all men. Not some, not most, not a large percentage, not a few. All.
For that passage from Genesis to be true, all men had to be involved.
Now, I can imagine a real-life scenario in which some men were involved, or most, or maybe just a really vocal minority. Perhaps a small gang of thugs. But all the male members of a given human settlement as determined rapists? I find that highly improbable, simply because I can't see how such a society could have even existed for one second to form itself into a society. They'd all be gang-raping each other left and right. Who the hell would stick around, especially the women?
But the Bible says all men.
Either the Bible is accurate, and all men in Sodom were gang-rapists, or the person who authored Genesis took a bit of poetic license when he chose the word "all".
If you believe the Bible reflects the literal word of God, you have no choice, then, but to believe that every single man-jack in Sodom was a gang-rapist.