Wrong. The US Constitution states that a President must be a natural born citizen of the United States; it does not specify that he be born on US soil.
That you will find will be spelled out very clearly for you in the coming SCOTUS challenge. There's a reason the founding fathers made a distinction between "naturalized" and "natural born". And you, as well as every other person on the planet knows that the founding fathers meant "born on US/territory soil". Their intent will be explored to find that conclusion. And of course the whole reason for the inclusion of the specification for JUST POTUS in this way was so that any child's formative years (and innate patriotism) would be spent imprinted on US soil. Otherwise, the Court will find that a US serviceman could sire a child on leave anywhere on earth and by circumventing the intent of the founding fathers, have that child...Abdullah Akbar or Ivan Kasikov be "legally" eligible for POTUS.
Not a good idea. That's what the Court will find. You can drive a nail in the wall and hang your hat on it.