Under my interpretation and that of many others, your kids are natural born.
That is, assuming you were.
“Under my interpretation and that of many others, your kids are natural born.”
Any child born abroad in a foreign jurisdiction and sovereignty without being shielded by diplomatic immunity is born with alien allegiance, and when a child of a U.S. parent, the child may elect to adopt or not to adopt the right to be naturalized at birth by the authority of the U.S. Immigration and Naturalization Act.