"The Constitution does not in words say who shall be natural-born citizens. Resort must be had elsewhere to ascertain that. At common law, with the nomenclature of which the framers of the Constitution were familiar, it was never doubted that all children born in a country of parents who were its citizens became themselves, upon their birth, citizens also. These were natives or natural-born citizens, as distinguished from aliens or foreigners."
have a look at what SCOTUS has ruled. Have a look at the fact that Obama was sworn in as president twice.
You can argue this forever. Its just that nobody is following your interpretation of the constitution about this.