Don't you tell me what my husband had to or not had to do. You obviously had never served in the military and been stationed overseas with your family, otherwise you would know what I am saying the truth.
If they had been born in a civilian German hospital, that would have been a different story, but they were not. I am sure there are freepers who have served and been stationed overseas with their families and have children that were born overseas can confirm what I am saying and they also had to go to the American Consulate for the birth certificate.
You said the hospital was US territory for purposes of citizenship. I said it wasn't. You also said you had to the US consulate to get the birth certificate processed. I don't doubt that. But it was a mere formality not affecting the eligibility of your kids to serve as president. They were citizens by birth because they were born to American citizens (I presume).
If they had been born in a civilian German hospital, that would have been a different story
How so? In either case, they would have been born on German soil. You still would have needed to get documentation from a consular office, and it still would have been a formality not affecting your kids' natural born status.