It's not libertarian. The US system is cronyism, statism at its finest, possibly illegal. Honestly, I think with current US laws and a willing political force, a lot of top players in the current US healthcare system could be punished, even with the death penalty (especially if reinstated at the federal level).
Dreams aside, in order to have a free market healthcare, which is what informed libertarians want, you need to abolish medical license, the FDA, patents and many other State's interventions. There is a reason why the healthcare system in the US is insane, and it's because the laws are made so that cronies have the monopoly on your health. Neocons are pathetic when they defend the current system.
Without the free market (the real one, not the scam you have in the US), healthcare will be a mess more than any other industry and at that point is better to have a single payer, universal system, because in the end they have the same problems of the current US system but at least you don't get ruined.