No. It's definitional. Police are government. By definition they are not private. What you're suggesting is replacing government with private security. I'm not an anarchist (not yet anyway). The government is our means of peacefully resolving conflict. As such, we give them a monopoly on coercion in order to provide that function.So socialized police (paid for collectively) is better for society than private.
Ok. But we're talking about the government. Not production. As a rule, in the US, the means of production aren't owned by the government. Yet.You see the the welfare of the population is an aspect of the means of production, you need people, people who can sleep soundly with their families, in order to produce anything.
So is hookers and blow, depending on who you ask. So what?So social stability and low crime is for the good of all.
No, it's radically different. Policing is the exclusive province of government because it requires violence to achieve. It requires appointing agents (police officers) who are granted power the rest of us don't have. It's anything BUT voluntary.Socialized health is the same idea as socialized police, one protects you from burglars, rapists, thieves, the other protects you from sickness.
Health care requires no coercion, no laws forcing compliance, no special powers granted to any of the actors. It's voluntary free trade.
Ultimately, our debate here hinges on your conception of government. I'm presuming that you see the government as "provider". A parental state that makes sure we have everything we need, and that we are doing everything we "should" (as defined by the current regime).
I don't look at that way at all. As I mentioned above, the overriding purpose of government is to resolve conflict peacefully. It should do very little beyond that, unless there is broad consensus on the matter. So if everyone agrees that government should provide postal service (at least 250 years ago) - so much so that they wrote it into the Constitution - that can be managed. ie the Constitution said government should run the post office. It didn't say that government should run any and every service that socialists want to control.