I don't want to get into the political details but that generic view you posted isn't accurate. Most don't care what others do. The big issue, at least in the States, is what is and isn't taught in schools. Personally I don't care what people do in their life. But I do take issue with schools seemingly pushing social assimilation over math/science. Social, religious, etc positions is for families to decide.
As a libertarian I do not care what an adult wants, is or does.
Deliberating telling lies about what trans people are, how trans people get care, what kind of care trans children are able to get (for example, trans children are not able to get surgery, despite the claim.)
False, unless it's your contention that cutting off healthy breast tissue is not surgery.