I think some people have misconceptions about the case and Obama's statement.
Gates was not arrested for burglary or trespassing, but for disorderly conduct. Read the arrest report: http://www.thesmokinggun.com/archive/yea rs/2009/0723092gates1.html
If this is to believed, then the policeman was leaving when Gates started being disorderly, which will likely be confirmed in the official investigation.
Secondly, Obama didn't hold a press conference or issue a special statement on this matter. He was specifically asked about the case and its racial implications by a (douchebag) reporter.
Focusing on this event and Obama's remarks is not making something out of nothing. Sure, we can all say that we've said stupid things spontaneously, but remember that Obama built his career through public speaking. He must be held to a higher standard than what we would apply to ourselves. This isn't a simple Bush-like gaffe, but an indication of how he thinks. It's the same way Gates thinks. A supposedly smart and educated man, when confronted by police he immediately concludes it's exclusively because he's black.
The "redistributive change," "spread the wealth around," his bow to the Saudi king, and now this remark are too consistent with his policies to be simple gaffes or misstatements. They may be mistakes, but only because through them Obama revealed his true beliefs, ideas not as resounding to the public as "hope" and "change."