The issue proves that his father was not an American citizen.
This proves, of course, that Obama is not a natural born citizen. He is a citizen; just not a natural born citizen.
His allegiance could lie elsewhere do to mixed loyalties.
The other thing is that because Obama's father was married to another woman in Kenya at the time of the Marriage, the marriage was void.
One final note, I have a feeling that a DNA match to Obama Sr. might turn up negative. My own conspiracy theory is that the real father is Frank Marshall Davis and that Dunham married Obama Sr. for the purpose of establishing legitimacy for Obama and that Obama Sr. may have been complicit in the whole thing. Apparently whatever marriage they had was over before Obama was born, since the LFBC clearly establishes different residences for Obama Sr. and Dunham on the date of the birth.
One final observation. If Abortion were legal in 1960, Obama would not be president today.