Chortle, I hate to say it, but I think you're being very politcally naive.
Having UK troops working with US troops on the eve of an election where one of the problems that the republicans are dealing with 'no allies' criticisms from the opposition, just really begs for camera footage of one of our most famous regiments working with the US in Bagdhad.
Don't get me wrong, I'm glad we're backing up the Americans but this is for votes, not for a military objective.
Ravs