Actually the major problem will be rationing healthcare. This is something that happens will ALL forms of national healthcare. Just look at Canada's or the UK's national healthcare. People are unable to get treatment because they are too old, too sick, the treatment would cost the government too much.
I do agree the healthcare system needs reform, but this will only make it worse. The reason our healthcare costs so much right now is because of litigation, lawyers suing for everything they possibly can, insurance (doctors have to buy insurance that will cover them should they get sued...and since being sued is very likely, the insurance is very expensive) Also, people who are responsible have to pay for those who are not. For example, some people never pay for their health care (illegal aliens, people with no money, people with no health insurance), this drives both healthcare costs, and health insurance costs, up.