I've wondered about this question a lot. I have to admit, though, that I don't really understand the ins and outs of socialized medicine. All I have to go on are some stories I have heard from friends living in Britain, Canada and Finland, all of which have socialized medicine.
My British and Canadian friends complain about the national health care systems because they can be slow to provide care. I remember one Canadian friend telling me about his mother, who spent almost eight hours waiting in an emergency room to be seen. This didn't strike me as odd, though, because the one time in my life I went to an emergency room here in the U.S., I waited nearly twelve hours. So, in a certain respect, hits story seemed to paint a better picture to me.
My friend from Finland agrees that it can sometimes take a while to get non-emergency care, but he also pointed out to me that people very rarely die in Finland due to a complete lack of care. So perhaps waiting a while in an emergency room isn't so bad if it means that everyone at least has access to care.
I'm still on the fence about it, but I like the idea that there are medical systems out there where everyone who needs care can get it.