By the same token a lot of those troops there don't want to be there, nor understand or agree with them being where they are. They are not mindless robots who think as one and exactly as their politicians want. Unless the American troops have a completely different attitude to their experience in Iraq, i know for a fact that many of the British troops don't want to be there. My brother for one, and if his letters are trustworthy the majority of his unit, which includes American forces working side-by-side with British units.
They are doing a job, but to suggest that we at home should show no dissent because it would affect their morale, well for one they themselves though doing a job don't often agree with the people who send them, ie the politicians, so to find that there are those who agree with them at home, i don't see how this would greatly effect them in regard to morale.
Anyone would think that they are completely ignorant to past feelings towards wars, they know that not everybody gets behind it; but this shouldn't be equated with the idea that because you don't agree with a politician's decision you are rejecting the people who are serving their country overseas.