A question to ask then would be this: do you think the number they used on 0bamas certificate was reused (stolen) from another birth or was unused and available at right around the time 0bama 'needed to be born'. That just does not seem highly likely.
If there was a conspiracy it more likely was perpetrated by the mother or grandmother back in 1961 to confer US citizenship for reasons other than a possible run for the white house. This type of conspiracy would involve less participants and be a simpler solution to the question.