My husband was born in Nairobi, Kenya to American citizen parents who were missionaries. His parents registered his birth with the American embassy in Kenya. My husband moved to the U.S. at the age of 16 to finish high school and attend college. At the age of 18, he applied for an FCC license for radio work, and was told he was not a U.S. citizen and, therefore, ineligible.
He was forced to go through the naturalization process to become a citizen. His parents being citizens did not matter, in this case.
*Even if it means a Biden presidency?*
Yes, even if it means a Biden presidency. The precedent cannot be allowed to be set.
The relevant regulations are here
Obama is probably a citizen even if he was born in Kenya. What is not clear is whether he is a natural born citizen and therefore eligible for the presidency. I have been pooh-poohing this notion as a waste of time, but after spending several hours digging into case law, maybe there is something to it after all.