Congress can stop an ineligible person from becoming president or vice president by refusing to certify the electors of an ineligible president-elect.
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My person take is this...
I was born in New Zealand (a British Commonwealth country just like Canada) and immigrated here, becoming an American citizen in 1975...a naturalized citizen, not a NBC...
My son was born in the United States in 1974 to me and my husband, his American citizen father...both of us in the US military at the time..
as I was not an American citizen until 8 months after his birth, he is not eligible to be the president of the United States...
Even though all 3 of us were definitely “under the jurisdiction thereof” at the time of his birth...
Now make Rafael Edward Cruz eligible out of his little rot if you can...
The courts have ruled that anyone who qualifies as a Citizen of the United States at Birth also qualifies as a Natural Born Citizen. Chester A Arthur’s father William Arthur (an immigrant from Northern Ireland) became a U.S. citizen in 1843 when his son Chester was 14 years old. Chester went on to become Vice President and then President.
The current law, 8 USC 1401:
The following shall be nationals and Citizens of the United States At Birth:
(g) a person born OUTSIDE the geographical limits of the United States and its outlying possessions of parents one of whom is an ALIEN, and the other a CITIZEN OF THE UNITED STATES who, prior to the birth of such person, was PHYSICALLY PRESENT in the United States or its outlying possessions for a period or periods totaling not less than FIVE YEARS, at least TWO of which were after attaining the age of FOURTEEN YEARS: Provided, That any periods of honorable service in the Armed Forces of the United States, or periods of employment with the United States Government or with an international organization as that term is defined in section 288 of title 22 by such citizen parent, or any periods during which such citizen parent is physically present abroad as the dependent unmarried son or daughter and a member of the household of a person
(A) honorably serving with the Armed Forces of the United States, or
(B) employed by the United States Government or an international organization as defined in section 288 of title 22, may be included in order to satisfy the physical-presence requirement of this paragraph. This proviso shall be applicable to persons born on or after December 24, 1952, to the same extent as if it had become effective in its present form on that date;