To be fair, almost none of that is free market capitalism, or requires it. To me, you're implying democracy, rule of law, contract law, freedom of association, or free markets require capitalism. I don't see why this would be the case, just because we happened to package all those together doesn't mean they all necessitate one an other.

Getting rid of capitalism also wouldn't require getting rid of the concept of private property. Capitalism is simply the concept that wealth can generate revenue through investment. It's a way of allocating money by way of a ruling class of the most wealthy. This isn't the only way, or in my opinion the best way, to decide what resources are allocated where.

I think coops, nonprofits, and even open source software all show the limits to capitalism. They are examples of people rejecting capitalism in order to persue higher goals than the ever increasing profit margins capitalism demands. I think our economic system should reward them.