Godel has a vibe. Don't be so sure.

Cantor is the infinity guy, so clearly he/it's a mind-breaking eldritch abomination with tentacles. (Also, mostly 19th century)

I don't know Frege.

what about alan turing?

They grew up in an oppressed environment and couldn't develop their own personal preferences (what did I just write?)

What about them? Listing a few brilliant straight people doesn't negate the other commenter's claim.