There is also the third issue that he was adopted by Soetro and became a citizen of Indonesia thus Barry Soetro. Obama is in no way an American citizen including through allegiance.
Good point - he lived with an Indonedian family for several years, not sure surname was Soetoro; there used to be a photo online of him as a boy around 5, formal photo, with eledery matriach and others, men in military uniform. Wealthy and well connected to the regime. No doubt he was fluent in Indoneian language.