To me it IS possible to support the troops without supporting the war. So I agree with you. I don't think the army can pick where they go, but I do know the Coast Guard can. My cousin and her husband are both helicopter mechanics, and her husband is a rescue diver (I think) with the US Coast Guard. They were based in Atlantic City in the 90's while my uncle (her father) was sick so they would be close by. When they came up for reassignment after his death they picked Alaska. This past round they picked some place in Michigan to be near his family. I think they have one more before they retire. My cousin said they may pick Hawaii, but that's usually the first to go... haha.
All the people I know who joined the military did so because the military paid for college. They did not do it to fight in a war. But that was before Iraq.