And you probably won't see polls that answer that because it is too vague and inspecific. You might find polls which ask if people oppose it because it does not at present have a public option, or is not strong enough pro-abortion, or other issues important to the left. Those are two issues that have been mentioned by leftists who are less than pleased.
Of course we won't see question worded exactly like that. I was just trying to make a point without being too wordy. It would not be that hard to make questions that asked about the deficit, taxes, "public option," forced enrollment, medicare panels, abortion, etc.
And the pollsters might say that would put too big a demand on the poor public's time/attention span. They might be right about that. I think you and I pretty much agree that the 60% "against" Obamacare doesn't tell the whole story.