Im asking you a question...how does paying for someones hospital visits better my life.
A rising tide raises all ships. If you don't see that you're inexorably economically entangled with the rest of the country, I can't help you.
Even ignoring that, if nothing else, herd immunity. Sure, you're not going to catch a broken arm (unless I get it my way) but you could see how for example, govt. provided vaccines would help ensure you don't get the flu because there will be less sick people running around. Right?
edit: Do you just accept that there is some* type of medical care that would be best distributed "for free"?