Look, I posted the Constitutional qualifications twice---from the original source. It's pretty plain that Cruz is included in those qualifications, IMO.
Byron York did a pretty good article on the historical application of the term "natural born citizen." Legal scholars largely agree that "citizen by birth" is the best modern day equivalent of the Founders' original meaning.
Cruz is not a naturalized citizen. That's absurd.
Did his citizenship originate from a Congressional statute?