What better way to insure attachment to the country then to require the President to have inherited his American citizenship through his American father and not through a foreign father. Any child can be born anywhere in the country and removed by their father to be raised in his native country. The risks would be for the child the return in later life to reside in this country bringing with him foreign influences and intrigues.
This makes perfect sense. However, what are we to do today, with so many people having connections outside the country? Many Jews, for example, became citizens of Israel just to help and pay taxes, and some fought for Israel in her early days of war. I don't know if Senator Lieberman or his father were among them, but he was a candidate for VP. Does Governor Richardson have a parent who was naturalized? It's not an easy answer for the future, besides the current situation with Obama.