I don't see anything wrong with the bowing - it's just a sign of respect. High time for the US to stop looking like a bully but show some respect to other cultures as well, which is exactly what he is doing. "Laskovij bichok soset matku dvazhdi", slihali?
I think Obama is a very diplomatic and wise leader. It doesn't hurt to bend your back sometimes..So I strongly disagree with the position of those that think it is a sign of weakness. No, it's a sign of strengh - the ability to show respect even to those who you think don't deserve it..But then the question is - Japanese don't deserve for someone to follow thier customs? Ah?? I don't think so...a very respectful country.