I live in Boston, Massachusetts, where we have universal health care and some of the best doctors and hospitals in the world. They don't have to be mutually exclusive.
You can pick where you want to live based on what you like. A state in the US is almost as big as many countries, so you can think of the US as a conglomerate of many countries.
However Massachusetts is having some adverse selection going on as people who otherwise could not afford health care are going there and putting a drain on the system. They are also having a shortage of family doctors.
What is making the states very upset at the current federal plan is that they loose the opportunity to decide for themself how they want the state to run.
Same goes for Europe and its member states I guess.