For what it's worth as a European who has never been to the US (and certainly won't now!) I've spoken to many US LGBTQ people and the ones from Texas mentioned this "live and let live" thing as a specifically Texan thing. Texas seems to be more open in that sense than other Southern states.
However like I said this is just hearsay but the two Texan people I spoke to mentioned exactly this phenomenon independently.
And yeah I can imagine you consider us leftists more purist. But I don't think you can say that America is heading leftward. Compare Trump with even a hard-line right winger like George W Bush and the latter is like a model president. I recently saw his congratulation speech to Obama and it exuded respect and sanity. It's kinda amazing that a president we considered pretty bad is now a role model.
Whereas Trump started the Capitol raid when Biden wijand now wants to redact history at the Smithsonian if it doesn't suit his narrative.