Yes, I believe it. I do not think that Obama initially expected to win this time around. I think that he sought name recognition and figured to take it next time around. I also think that he has had people behind the scenes working out how to best get an amendment such that he could legally run. That being said, when things took a rather positive turn, then we began hearing rumors of riots and racism if he was not elected or could not hold office. If, and I stress "if", he is found ineligible, this is his fault and the fault of those who should have vetted him and the people who backed him will likely be a angry that they were duped and intentionally mislead. I'd also guess that they'll be angry with the democrats who should have vetted their candidate thoroughly.
It occurs to me that the Republicans have intentionally downplayed this until everything was in place and until there could be no doubt as to what was legal. There is no point stirring things up until you can be sure that you have the legal backing for your argument. Doing so only creates anger with Obama's supporters and lets your opponents know what you're doing. Let them believe that you are buying their argument, then lay it all out when the time is right. One decisive, absolutely inarguably legal move takes down their house of cards.
It is also critical for Obama's supporters to place the blame where it belongs--on Obama and the democrats who did not do their jobs properly. This thing is big enough to essentially take down the current leadership of the democrat party, something greatly to be desired.