Read this About.com article to see what point i was trying to make, because I obviously wasn't very clear in the way I wrote it. Bottom line: SCRA allows you to be a resident of a state you're not stationed in, but where you intent to retire when you leave the service. It doesn't require you to get a driver's license in that state to pay taxes in that state.
http://usmilitary.about.com/cs/militarylaw1/a/homeofrecord.htm
The linked article is not entirely accurate, although it does a fairly good job of explaining the concept of "state of legal residence."