Your heart’s in the right place, but I think you need to learn more about the LGBT community. Stuff that doesn’t come from sources trying to paint it as sinful or a corrruption of society.
Honestly, a lot of anti-LGBT talk is just an evolution of anti-woman talk. They were oppressed and made to feel shame for who they are, and then they decided they weren’t going to take it anymore. There is no shame. Only pride.
Misogynists tried to demonise the entire feminist movement by saying “look at those radical feminists who just hate men. They’re all ugly and weird!” Looking back, a lot of the men who did that were projecting hard, since they were rarely attractive or sensible themselves.
Then a bunch of women who listened to those misogynists a little too much took the lessons to heart, not wanting to hate women but being taught they should. So they say “I can’t support feminism because of those radicals”, or “I’m not like other girls, I’m one of the good ones!” It’s still misogyny. It’s just a self-serving sort.
But all it takes to be feminist is to think women should have equal rights to men. And all it takes to support the LGBT community is to say they shouldn’t be persecuted for being who they are.
Macbeth, Act 2, Scene 2:
Lechery, sir, it provokes, and unprovokes; it provokes the desire, but it takes away the performance: therefore, much drink may be said to be an equivocator with lechery: it makes him, and it mars him; it sets him on, and it takes him off; it persuades him, and disheartens him; makes him stand to, and not stand to; in conclusion, equivocates him in a sleep, and, giving him the lie, leaves him.