If there's one article you want to read today about Obamacare, it's this one. It's basic polling information about the public's current thinking on the law, which shows once again that the general public is seriously out of touch with the DC consensus. 54% of voters are confident the problems with the law will be worked out. And while 58% currently disapprove of the law, 14% of those disapprove because it's not liberal enough. So it's not at all the case that a sizable majority want to go back to the bad old system. Those folks are clearly in the minority.
It's fair to say that you can't just credit single-payer and public option advocates as de facto Obamacare supporters. Indeed, a subset of this group is among the most vitriolic opponents because they see Obamacare as a cop-out compared to the real solution which is Single Payer. But to resurrect some archaic terminology it's probably fair to say they are objectively pro-Obamacare (yes, I'm being a little cheeky) when you look through the prism of support for going back to the old system. These folks are never going to support going back.
See the numbers here.