The question being asked is for civilian Americans, and it actually affects how they pay taxes. As military personnel, if your stationed overseas (Not in a Combat Zone) you will pay taxes on your income exactly as you would at home.
As a member of the military family, you can obtain 100% free access to tax consultants and financial counselors with military expertise. Contact Military OneSource anytime, 24/7 at 800-342-9647 to take advantage of this benefit.