That's a lot of really interesting info, but I don't think it addressed my question. My question was, does an "an-cap" society really align with libertarianism, because from what I know of libertarianism, it doesn't. Libertarians aren't anarchists, they believe in a minimal govt that prevents people from infringing on each other's freedoms.

Your points about lack of construction or medical regulation are good, though. I don't think a libertarian would endorse those types of regulations, but innocent people will die in completely avoidable ways without them.