There have been several efforts to amend the Constitution, to allow those children born abroad of military citizens natural born citizenship. None has been ratified. The Naturalization Act of 1795 states that such children are citizens, not natural born citizens.
It’s an admirable sentiment, and a widespread, popular misconception, but it is not true that children born abroad of military citizen parents are natural born citizens.
Allegiance is not just a state of mind. It is a basis of legal claims. The country of birth claims these children as their own, in most instances. They follow jus soli, too. These legal entanglements would be extremely difficult in certain situations as Commander In Chief. Times of war, trade negotiations, defense treaties ... there is the logic in excluding the foreign born, regardless of parentage.
Hard to believe the founders would interpret someone with a British father to be natural born.