According to you, someone born outside of America to a service member shouldnt be eligible for president.
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Neither of the parents of Ted Cruz were in the US service when Ted was born in Canada..
When we were serving overseas it was the norm to try to return to the US for the births of children so that they would not have dual citizenship and so that they would be NBC
one of the first things I was told when I arrived was to not have any children outside the US..
this was 1974...
It was less about NBC than it was about the child having dual citizenship and, perhaps, being subject to a foreign country's military draft.