The only reason the Democrats aren't having this same sort of problem is that they aren't running primaries this year.
I have argued that Obama may even be disadvantaged by not being primaried from the left this year because Romney is being defined as a moderate centrist by the attacks coming from his right. Without an effective attack from his left, Obama remains defined as the leftward edge of the known political universe by the MSM, and not as the pragmatic moderate centrist he actually is. Index of Frank's Diaries