Don’t look too deep at Cruz
http://people.mags.net/tonchen/birthers.htm#ref02
In Inglis v. Trustees (1830) and Elk v. Wilkins (1884), the Supreme Court ruled that a child born on U.S. soil, of a father who owes allegiance to a sovereignty other than the United States, is not a U.S. citizen at birth; the citizenship of such a child is that of its father, not its place of birth [20]. Consequently, the U.S.-born child of a foreign-citizen father cannot be a natural born citizen [41].
Tell that to Precedent Obama. Before 2008 I believed as you do, but that is now a moot point. Not one of our elected or judicial officials raised a finger to defend Art. II Sec. 1, it’s dead.