I'm more exposed to American conservatism. And even here I barely understand it. I used to be Christian, but I left the religion before I realized I was bi, and before I knew genderfluidity and trans people existed.
I guess I'd have to know why individual religious groups, countries, cities,(etc...) have anti-LGBTQ beliefs. Maybe there are no blanket statements that properly address it for the entire world.
following this, OP could read Leslie Feinberg's Transgender Warriors, there's free copies online, I think you can buy a hardcopy for $14
it's an 'easy' read, and it brings a lot of the Origin Of the Family Private Property and the State, which is was a bit of a slog (though essential reading imo)