It is not so complicated as you wish to make it. The Founders wanted to protect the office of President from coming under the influence of a foreigner. A child of two citizen parents is more likely to be loyal to the country, than the child of a citizen and an alien. There is the chance that the child will assume the loyalties of the non-citizen parent, as seems to be the case here. A little common sense goes a long way in understanding things that were written when common sense was still common.
Well said. Any interpretation of natural born citizenship that weakens the founders' intent to prevent, to the greatest degree possible, the possibility of divided loyalties in the CIC flies in the face of common sense and simple logic.