There is precedent on what to call a person (citizen-at-birth, no Naturalization Certificate) born abroad to a citizen mother and alien father. Mr. Bellei was naturalized US citizen. So is Cruz.I looked it up and the Supreme Court definitely seems to directly disagree with the recent position paper by certain Harvard Law Review hacks. In Rogers v. Bellei (1971), the SCOTUS found the following:
"Every person born in the United States, and subject to the jurisdiction thereof becomes at once a citizen of the United States, and needs no naturalization. A person born out of the jurisdiction of the United States can only become a citizen by being naturalized, either by treaty, as in the case of the annexation of foreign territory; or by authority of Congress, exercised either by declaring certain classes of persons to be citizens, as in the enactments conferring citizenship upon foreign-born children of citizens," (emphasis mine).
I'm not a lawyer, but this sure seems to support Trump's case against Cruz, but maybe I am misunderstanding this SCOTUS decision. (I don't think this is just orbiter dicta.)
It's rock-solid precedent. You done good, for a non-lawyer.
It's a lesson in propaganda and manipulation of public perception.