What I noticed, and what you've either failed to notice or have chosen to ignore, is that it all falls back to U.S. Code: Title 8 - ALIENS AND NATIONALITY
So, NO, someone born in the US is NOT granted his citizenship by the same law unless one, or both, of his parents is a frigging ALIEN!!!
Since most Constitutional scholars disagree with you, it hardly seems worth it to keep having this circular argument. You cannot prove your position beyond a reasonable doubt, and neither can I, because there is no legal definition of the term “natural born citizen”. And since no one has standing to challenge Cruz’s eligibility, that pretty well ends the discussion.