I would add that any collectivist scheme, whatever the label given it, is contrary to human nature. And that is its fatal flaw.
It's quite hard for a libertarian to confront and argue that capitalism is still a usable concept. You are correct to limit this point to private property.
The cronies have sullied the word capitalism with their insidious corruption that turned it into soft-fascism, getting less soft all the time.
RE: Communism vs. Compassion