This means that there doesn't have to be a naturalization by court or Congress to make you a citizen. There are two natural ways to become a citizen... Jus Soli (by the soil) or Jus Sanguinis (by the blood). So the question comes down to this... was Ted Cruz a citizen of the US by birth? If he required naturalization, then he was not. If he simply required recognition of his already held birthright, then he was.
I, as a supporter, would like this put to bed. Which is it?
Cruz was never naturalized. He was elected as a US Senator in Texas. Can noncitizens be elected? No.
So, if he was NOT naturalized, and he is a citizen now, then he must a natural born citizen, correct? There is no other alternative.
Natural born citizenship then is equivalent to natural born allegiance.
Allegiance, according to the English common law means: the duty of loyalty and obedience owed by all persons born within the king's realm that attaches immediately upon their birth and that they cannot be relieved of by their own actions. In US law, it means: the obligation of fidelity and obedience that is owed by native born and naturalized American citizens to the United States that cannot be relinquished without the consent of the government expressed by a statutory enactment.
Ted was most definitely born into the allegiance of Canada. According to Canadian law in effect at the time of his birth (the Canadian Naturalization Act of 1947 specifically), he was, in fact, a natural born citizen of Canada.
Though he is a citizen of the United States, he most definitely is not a Natural Born Citizen of the United States. As such, he is not eligible to be POTUS or Vice POTUS.