healthcare is the state it is in because of government interference in the insurance markets at Federal and State levels. When you cannot cross state lines to offer competing insurance how can anyone expect a good system. Before anyone points to government run healthcare in the US being good please explain away the VA
The standard line always is, "we will do it better than X" - well fix current government run healthcare first
Arguably, U.S. government interference in healthcare markets has been heavily influenced by insurance lobbyists for the purpose of increasing insurance profits. Although there is often a trade-off between availability and quality, other countries have managed to provide decent healthcare without exorbitant cost.
If you don't just to want beat up a strawman, the US interference in health care is not a good argument against government interference in health care in general.
The NHS in the UK has its problems, but they are not nearly as bad.
(I don't know which country's system is the best to look at as a good example of private health care. Perhaps the best parts of India? (India ostensibly has government healthcare, but it's so bad that everyone who can afford it gets private health care. I don't know how bad the interference is.)))
The standard line always is, "we will do it better than X" - well fix current government run healthcare first