A child born abroad to two U.S. citizen parents acquires U.S. citizenship at birth under section 301(c) of the Immigration and Nationality Act (INA) provided that one of the parents had a residence in the United States or one of its outlying possessions prior to the child’s birth.
The bottom line is Ted Cruz was not born within the jurisdiction of the United States. He is not a natural born Citizen. He is just a U.S. Citizen like he stated earlier today wanting it left up to other people to debate.