[Hostage]

There are three categories of citizenship:

1. Natural Born Citizen
2. Citizen at Birth
3. Naturalized Citizen

Your law reference covers only number 2 above. Number 1 above is what is at issue as there is no argument that Cruz is a citizen by birth.

[Nero Germanicus]

Your categories one and two have been considered the same category since the late 19th century. Since the adoption of the Citizenship Clause of the 14th Amendment in 1868, no law passed by Congress and no court decision has ever separated natural born citizens from citizens of the United States at birth.

Two recent examples of court rulings on the issue:
Tisdale v Obama, US District Court Judge John A. Gibney, Jr.: “It is well settled that those born within the United States are natural born citizens.”— Tisdale v Obama, US District Court of the Eastern District of Virginia, January 23, 2012.
http://www.scribd.com/doc/82011399/Tisdale-v-Obama-EDVA-3-12-cv-00036-Doc-2-ORDER-23-Jan-2012

Voeltz v Obama, Judge John C. Cooper, Leon County, Florida Circuit Court Judge: “In addition, to the extent that the complaint alleges that President Obama is not a “natural born citizen” even though born in the United States, the Court is in agreement with other courts that have considered this issue, namely, that persons born within the borders of the United States are “natural born citizens” for Article II, Section 1 purposes, regardless of the citizenship of their parents.”—September 6, 2012
http://judicial.clerk.leon.fl.us/image_orders.asp?caseid=77182640&jiscaseid=&defseq=&chargeseq=&dktid=57485906&dktsource=CRTV

[xzins]

There are only 2 kinds of citizens: (1) Those at birth, and (2) those naturalized.

Check the 1952 Naturalization law to see that I am correct.