Here's the poop (for those that are interested) regarding the citizenship of children born to U.S. military personel stattioned overseas.

It's from the Office of the Judge Advocate Camp Zama, Japan.

"Birth Outside the U.S. to U.S. Parents
A child born overseas may also be a U.S. citizen if one or both of its parents are citizens. Children born overseas have to meet certain requirements to gain citizenship, and the child's parents have to register the birth at a U.S. embassy or consulate as a consular report of birth abroad. For U.S. military personnel and their dependents, this report is filed through the Military Personnel Office"

biLL