I was shooting heroin and reading “The Fountainhead” in the front seat of my privately owned police cruiser when a call came in. I put a quarter in the radio to activate it. It was the chief.
Real libertarianism looks more like anarchism. There's no strong central body (neither government or corporation), community helps each other, total personal liberty, etc. Political anarchism is generally "lib-left" on a political compass while classical libertarianism is "lib-right".
As a tangent, I very much dislike the ambiguous words we chose for the political compass, they have usage that could indicate so many different things on their own. For example, if I saw someone referring to republicans as "lib-right", I'd say no shit because both parties in the US are liberal political parties.
It depends on who you ask. 10 years ago, it was mostly classical liberals that defected from the Republicans after the GOP started focusing their messaging on rallying evangelicals. Within the last couple election cycles, which IIRC is right around when they got close to having good enough poll numbers to get in a debate, the loudest group in it became ANCAPs who fight with each other about who's actually extreme enough to earn the libertarian title.