“Will they conclude that government should stay out of the health care field?”
Quite the contrary. The genius of Obamacare is that it inextricably mixes government and the private sector. Every failure will be blamed on “greedy” “profit-making” private insurers, drug companies, medical device manufacturers etc. while government will take credit for every success (e.g., reducing the number of uninsured). Every “problem” identified will be accompanied by a demand that government fix that problem. Thus, like the tar baby, the government will become ever deeply entangled in health care. Progressives are hoping things get broken enough that they can usher in single payer health care as the solution to the “failed” private market.
I believe you're absolutely right. And, I believe that Obamacare will, like Medicare, develop its own constituency of voters. I suspect that future GOP candidates will be advocating "improvements" rather than repeal. In fact, isn't that what Romney did this year with his promise to "save" Medicare and his promise to "repeal and replace" Obamacare? How many candidates out there (at any level of government) are advocating that government get out of the health care system entirely?