the big Ambrahamic religions stand fundamentally opposed to the existence of LGBTQ+ people

Setting aside the navel gazing "um actually if you translate the Greek properly..." nerd theology, the big religions only seem to care when reactionary secular leaders care.

Hostility to homosexuality isn't a product of religion, it's a product of socio-economic in-groups and out-groups. Same with misogyny, ethnic bigotry, and xenophobia. You'll find all the same reactionary tendencies among secular atheists as sectarian dogmatics. And the same progressive attitudes, as well.

Religion is downstream of politics. Always has been