I am onboard with your post except for this, and I think it's because I just haven't seen it in person.
I have many dear LGBTQ friends, and none of them have tried to indoctrinate me or my kids. I taught in public school for 14 years, and I was never indoctrinated nor was I given any material to indoctrinate my students with. In my years at the college level, same thing. The visual and performing arts communities are loaded with LGBTQ individuals and most of the time you don't know it unless you ask about it or meet their partner.
My children have been taken care of by LGBTQ individuals. They have a couple adopted guncles. They even had a lesbian Sunday School teacher and VBS coordinator for four years. All they've learned is that we're all children of God and deserve to be treated with love and respect.
Maybe it's because I don't do TV, but I'm just not seeing and my children aren't experiencing this allegedly pernicious indoctrination.