I would be concerned about moral hazard leading to people not taking care of their own health. And yet, America has a disproportionately bad problem with weight and cardiovascular health. I get a discount for not smoking, sure, but I don't get a discount for going to the gym multiple times a week and adjusting my diet to keep my weight goals. I seem to be sharing a risk pool with a lot of very willingly unhealthy people.
I would be concerned about a DMV-like experience when trying to take care of my health care, except, that's what we have now. Bad incentives are created for providers, for insurers, and really it's all of them against me. And it's hardly a free market when there's still effectively a complete lack of transparency over pricing, and I can't very well shop around for where the ambulance should take me.
I'm very pro-immigration as long as we have some security / documentation process that people follow that we actually enforce, because I don't want a social healthcare system that just gets abused by people who have no intention of ever being a formal part of the system that funds it. Except we already have a drain on hospitals in many states where they have to provide life-saving care but will never get reimbursed for it. And that's exactly what Romney's major argument was in defense of his state's healthcare law, but Republicans ripped him to shreds over it.
I just don't understand what Republicans are arguing for here because the current system is not remotely giving any of the benefits of a free market and that doesn't seem to be changing any time soon. If the current system is privately-run healthcare, why is everyone so convinced that the vaccine is a government conspiracy? It seems to me we don't have either ideal, so we're stuck with a half-measure that isn't really working for anyone but insurers.