How long until we see "Tell Obama to get his hands off my Obamacare!" signs in Appalachia? Coupled of course with a wonderful anecdote about how Obama hates the little people and wants to take away their Obamacare, while their Republican heroes try to stop Obama from repealing it.
Good thing about it is that (thanks to the GOP), the label "Obamacare" will forever stay attached to the bill and make it clear who fought for it.
Even with it being called "Obamacare", I'm not sure that's enough to pierce their cognitive dissonance.