To tell you the truth, I wouldn't mind at all if it was the Brits that got him. We didn't drag our Allies into this to sit on their hands! We should want our Allies to be fully involved and be active participants in the process. For the Brits to capture OBL would be a huge boost to our friends over there and they could use that to rub in the face of their political opponents.
So I say to them, Happy Hunting!