SImple question is, why can’t we see the same format as the Nordyke twins - the photocpy or microfilm of the original birth certificate?
1 - there is not one (occam’s razor)
2 - there is one, but they are not willing to show it for some reason.
That reason might be that the child of Anna and the Kenyan student which Mary babysat in January 1961, was born in Hawaii, but zero wasn't. So any birth record in Hawaii would show a January birthdate and the maiden name of Anna Obama.