Are you just making up stuff up as you go along?, the Immigration Code doesn’t distinguish between Known or Unknown Father, but instead looks at the mother’s marital status. Since as you pointed out Obama’s father was already married to someone else, so the President’s birth as out of wedlock.
7 FAM 1133.4-3 Birth Out of Wedlock to American Mother (TL:CON-68; 04-01-1998) a. Section 309 (c) INA: A child born abroad out of wedlock after December 24, 1952, to a U.S. citizen mother acquires U.S. citizenship if the mother was physically present continuously for 1 year in the United States or its outlying possessions at any time prior to the child’s birth.
I think I see your reasoning as to BHO being born out of wedlock because his father(no dispute) was a bigamist and as such there was no wedlock by USA law. With this condition why was it necessary for BHO’s mother and father to get a divorce in a Hawaiian court? Also I think that there are substantial arguments that the immigration code you cite does not give status as ‘ natural born citizen’ as contrasted by general citizenship cited.
These parts of our Constitution have particular meaning because my brother and I as vets of WWII (brother KIA) could not be POTUSA because parents were not citizens though I and my brother were born in the USA and very proud to have been.
Immigration code? That’s not the law for “natural born citizen”, dear.
Such persons are "naturalized at birth", just as are those who meet the criteria required when the mother is married to a foreign national and the birth occurs outside the US.