For example "third sex" bills that add a new sex category, marketed towards nonbinary people but will inevitably used to discriminate against infants who have disorders, forcing them to be categorized as an "other" and making life hell for them.

That's fucked up, and I completely agree, something like that seems likely to happen.

so maybe that will come to America too.

That is one of the few things here that I think there will be a lot of pushback on, because at least a segment of conservatives are against it on grounds of free speech (not because they are LGB allies necessarily).

And I suspect they will probably push for transgender and/or LGBT dogma to be taught in schools to children. I was never really pro-homeschooling, but if I was a parent right now in a pro-LGBT country I would refuse to send my kid into public school.

Good point. I've read a little about this happening in Canada, but not about it in the US.