You obviously have not been following this debate for the last year...there are numerous at length discussions on Natural Born Citizen for Constitutional purposes. Lawyers argue both sides and Judges decide. According to your idea, a person born to two illegal alien parents who just happen to drop the baby on this side of the border and he resides in the US for 14 years maybe with still illegal parents is eligible to be President of the US. I think not and if that is the case we need to know so we can fix it.
While they are at it they should end the misinterpreted 14th amendment in the jurisdiction of which currently is interpreted to allow for Anchor Babies, a miscarriage of Justice, Its like saying if you break into a bank and get caught you get to keep the money, we should have stopped you before you entered the bank. Ridiculous.