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.
As someone who lives in the states, this is completely wrong.
Most people do care about what others do. People tend to be judgy creatures, judging based on how others look, how others act, etc.
The people that tend to say they want government out of everyone's lives, for some reason tend to vote the most for government people that want to interfere with other people's lives.
The government asking for medical records of trans students. That's really your government staying out of our lives and not caring what others do.
Many states have passed or proposed completely inaccurate laws about trans medical care. 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.)
There are practically more rules about trans athletes than there are trans athletes.
"Republican lawmakers in both the House and Senate have combined to file 10 bills seeking to restrict the ability of transgender minors to play in youth sports.
In the 2021-2022 school year, only five transgender students were eligible to compete according to their gender identity, having gone through the Missouri State High School Activities Association process"
In Missouri, can you imagine your government basically proposing two laws for you as an individual?
Small government in action, I am sure.
>But I do take issue with schools seemingly pushing social assimilation over math/science
Maybe you should look into the science of transgender people.