I'm not really sure what you're saying, do you mean that doctors working under a socialized system wont get money for research? If this is what you mean than that's totally wrong. For instance 8 swedish doctors have gotten the Nobel prize in medical research, five of these come from "Karolinska Institutet" which is not a private hospital, but one of Europe's largest research hospitals. (
http://info.ki.se/index_en.html)
If I go to my local clinic with a sore throat a doctor there will look at it. Now he may be a really good doctor or he maybe an ok doctor, and for this check up I will pay about 15 dollars. When it comes to extreme surgery or treatments you don't go to your local clinic. For example, I was born in a medium sized town. The doctors on this local hospital realized that I needed advanced surgery that could not be performed there,and I was flown to Karolinska. For this my parents paid the equivalent of 20 dollars.
What I'm trying to say that is even though we have a socialized system, we are not restricted to our local hospital. If I for instance got cancer, I could ask to be treated at Karolinska and that would be just fine. No higher costs for me compared to choosing a hospital closer to where I live.
I'm also trying to point out that being a private doctor does not in any way mean you are a better doctor which seems to be what a lot of people here think...