If only there were a single payer. ;-)
Seriously, there should be single-payer health care. Also, there's the fundamental question of whether you view health care as a political right or as a personal privilege. The free market is very good at serving the privileged, not so great at serving everyone universally, equally. If you're ok with millions of people having little or no health care, that's definitely what you'll get with a totally free market for health care.