Well, I'm not surprised. Personally, I think I'd find a completely private system far more agreeable if it was backed by rigorous anti-trust laws. Small business is the lifeblood of capitalism.
The problem with healthcare is that demand for it is inelastic and thus under any conditions a just price could never exist.
1. Actually, demand for health services is quite elastic.
I would think it depends on what type of health service you are talking about. If you need an angioplasty or chemotherapy, your demand isn't going to be very elastic now is it?
Going to see a doctor for the nth time due to a fever is very different of course. This is why HSA's should become a larger part of the healthcare system.