"The Bible has always been the go-to resource for archeologists and historians"
That doesn't mean it's historically accurate. There are a number of stories in the Bible which historians used to take at face value which we now understand are either completely made up or heavily exaggerated.
"Again, I note how atheists never condemn the Sodomites for wanting to gang rape the men who came to visit Lot. You always pick on Lot."
I pick on somebody who who offered his own children to be brutally raped. Should I not pick on him? And how come you never say he was wrong for doing that?
Here: I condemn the made-up people in the fictional story who wanted to gang rape two imaginary creatures. Now are you going to condemn the guy who was okay with his own children being gang raped?
"(2 Peter 2:8) Lot "vexed" his righteous soul by observing their wicked deeds day by day. The Greek word "vexed" I belief implies that it "messed with his mind". He was influenced into making a bad decision"
In other words, Lot was upset with how the men in the city behaved. So where's the condemnation for what he did?
"The Angels (men) who Lot was protecting, ensured the daughters remained safe"
You're missing the whole point. It doesn't matter if the two daughters were not raped, what matters is that he offered them to be raped in the first place.
"The Bible soundly condemns, kidnapping, rape, abandoning family, etc"
And yet Lot did exactly that and he is called "righteous"
"Jesus treated it as an historical event, which means nothing to you I suppose"
Correct, it means nothing to me. I don't care if Jesus thought the story was true, that doesn't mean the story is actually true.
"We get our very term "sodomy" from this community of homosexuals"
And we get the term "buggery" (anal sex) from "Bulgarian", so does that mean all Bulgarian men are gay?
"notice Lot's daughters were married, and yet still virgins"
In biblical times being engaged was considered pretty much the same as being married, so maybe they were just engaged, but not actually married yet. And even if they were married, so what? It doesn't really make sense for them to be married but not living with their husbands.