Also, something to keep in mind with fully socialized medicine is it would almost certainly reduce doctor pay, because the government would have almost all the leverage in pricing. I know some doctors in France well, they're extremely poorly paid compared to doctors in the same practice in the US.
And if you squeeze doctor salaries too much, what fraction of would-be doctors are going to decide that they don't want to go through the hassle and expense of medical school?
And yes, even the least paid doctors in France earn much more than the median French salary. Also in France, medical school is not expensive ("socialized" education). It just takes time...
French doctors still in the top 5% of earners in France, even higher when it comes to revenue from work. And the schools have to reject like 80% of the students at the end of first year.
http://www.pbs.org/newshour/rundown/health-costs-how-the-us-...
In reality, the people doing the actual work of health care wouldn't change -- the money to pay them would just come from a different place. Do you really think the folks at insurance companies have more custodianship and duty than people working in the public sector?