considering the several day time lapse from when this event occurred and when he voiced an opinion about it, despite the "right" opinion being obvious from the first second, it's hard to say that this wasn't a scientifically informed decision on Obama's part. Either there was a direct poll and/or focus group, or an indirect one, but it's hard to imagine that Obama walked into this issue blindly considering the time lapse
Even the Fox News poll showed a majority of people believing the Muslims had a constitutional right to build the Islamic center. (however, a majority also found it inappropriate) I assume that's how they'll play it.