We know this is true because there are places where trans people are more safe than others, where they have more rights than other places.

I'm genuinely curious where you are referring to, that you believe trans people are actually legitimately free of the threat of violence against them. If you're in California, you're mostly free from governmental violence by the California state government itself (unless you happen to run into a transphobic cop), but that doesn't insulate you from federal laws that target you. And you're certainly not safe from individual bigots any moreso than in other states.

I can’t convince you that libertarianism doesn’t work

You keep talking about Libertarianism, but I don't know where you are getting the impression that any of us here are Libertarian. Are you just using that as a catch-all term to mean "skeptical of governments and systems of authority"? Libertarianism doesn't work because of its focus on Individualism, and everyone's supposed 'right' to exist apart and separate from each other (except when Libertarians want others to be forced to do something). Libertarians don't want a society, they want to be provided-for, but also to have no responsibility to the people doing the providing.

There are many OTHER political philosophies, however, many of which reject systems of authority, but embrace community, social responsibility, interdependence, and civic engagement. And in which people can choose to participate in those societies rather than being forced to simply because of where they're born.