That was happening anyway, if it weren't for Medicaid, that is. There was a definite brain drain of doctors (especially specialists) who choose to go to affluent suburbs and urban areas simply because they get more (and better quality, AKA rich) patients. You think if we _further_ privatized the market, those in rural areas would be _better_ served? Isn't that the opposite of what the free market would actually do? In fact, take a look at this study[1] about physicians in rural America. It's eye opening how they advocate federal and state intervention (read Medicaid and Medicare) as one of the solutions (along with opening training up to more potential candidates, which even I as a liberal elitist supports).

[1]http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1071163/