"Every president to date was either a citizen at the adoption of the Constitution in 1789 or was born in the United States; of those in the latter group, there have been seven that had at least one parent who was not born on U.S. soil."
The issue is not whether the parent is born here, but whether both parents are citizens, owing no allegiance to any other sovereign.
Winston Churchill had an American mother, he is just as eligible as Ted Cruz.
Why then would Congress have bestowed honorary citizenship to him if he was a natural born citizen?
Born on foreign soil to an American citizen parent serving in the armed forces allows for a Green Card and a potential path to American citizenship.
Ted was born on foreign soil to a non-military ex-patriot married (or not) to a Cubnadian citizen who rejected American citizenship for his first 50 years of living in the USA.
The Ameriasian offspring are more entitled to citizenship since they were fathered by men in the service of their country.
Amerasian Act | USCIS
www.uscis.gov
Amerasian Act Public Law 97-359 (Act of 10/22/82) provides for the immigration to the United States of certain Amerasian children. In order to qualify for benefits under this law, an alien must have been born in Cambodia, Korea, Laos, Thailand, or Vietnam after December 31, 1950, and before October 22, 1982, and have been fathered by a U.S.