JayMatt, it’s nice to debate, but when you make definitive statements then that’s beyond debating in Yeshiva. But I wouldn’t want to tell anyone what to do.
1. There a variety of shitos in the mefarshim about Lot, but, as I wrote, the Torah is pretty clear that it was due to Avraham that Lot was saved and it is at least as clear that Lot was not a Sodomite other than place of residence. Thus, the fact that he required intervention to be saved is a clear indication that, very simply speaking, one shouldn’t be in the wrong place at the wrong time, as discussed above.
2. I don’t agree with your implications here. It happens that some of his descendants were forbidden to join, but that was only because of what they did (“al divar asher lo kidmu eschem…”).
But another of his descendants is the most famous convert in Jewish History and the matriarch of Dovid HaMelech and ultimately Melech HaMashiach, may Hashem send him soon to redeem us all BB”A.
In fact, I’ve heard that the reason Lot’s daughter named her son Moav is liSheim Shamayim: so that nobody should claim instead that her son was born in a “virgin birth” and therefore be michalel shem shamayim, etc. as happened with a different child some centuries later when some people made this exact claim (which was actually a common pagan belief) about a certain boy in Natzeres.