The reason Bradley is a good shout is because he is a similar type manager to Martin O'Neill in the motivation realm and player management field. He is always willing to change tactics and drops his bets players if he knows they're out of form, i.e. Onyewu and Davies during the world cup.
The downside to him taking over would be that in his club management span he has only worked within the mls where we don't have a proper transfer system, it's all done via a player draft and clubs don't own players the league does.
He would definitely put a shift in, but I can see where he'd be criticized.