No, they are not. Show me where in the law where it is stated that they are. A citizen at birth can be an anchor baby with NO US parents, if he is born in the US. A foreign born's citizen is a totally different and more complicated issue. Citizen is not the same a "natural born citizen". Natural born citizen is not simply a citizen that was not nationalized.
The Democrats will let Cruz run because they do not want a court challenge to Obama’s birthplace. It will never get to the SCOTUS.
Once Obama finishes his term without being tossed from office via Impeachment, and Cruz is put on the ballots of all 50 states, the definition of NBC will have been set by precedent and 3 elections.
The best thing that could happen to the Democrats is for Cruz to run against HRC and HRC win. Then, Obama’s birthplace becomes moot and he is no longer an “usurper”.
The best thing for us is for Cruz to run and win.
For your consideration: United States v. Wong Kim Ark (1898):
[An alien parent’s] “allegiance to the United States is direct and immediate, and, although but local and temporary, continuing only so long as he remains within our territory, is yet, in the words of Lord Coke in Calvin’s Case, 7 Coke, 6a, ’strong enough to make a natural subject, for, if he hath issue here, that issue is a natural-born subject’
“Subject’ and ‘citizen’ are, in a degree, convertible terms as applied to natives; and though the term ‘citizen’ seems to be appropriate to republican freemen, yet we are, equally with the inhabitants of all other countries, ’subjects,’ for we are equally bound by allegiance and subjection to the government and law of the land.’
…every child born in England of alien parents was a natural-born subject, unless the child of an ambassador or other diplomatic agent of a foreign state, or of an alien enemy in hostile occupation of the place where the child was born.
The same rule was in force in all the English colonies upon this continent down to the time of the Declaration of Independence, and in the United States afterwards, and continued to prevail under the constitution as originally established.”
http://www.law.cornell.edu/supct/html/historics/USSC_CR_0169_0649_ZO.html
Taitz v Obama (Quo Warranto) “This is one of several such suits filed by Ms. Taitz in her quixotic attempt to prove that President Obama is not a NATURAL BORN CITIZENS, as is required by the Constitution. This Court is not willing to go tilting at windmills with her.”— Chief US District Court Judge Royce C. Lamberth, US District Court for the District of Columbia, April 14, 2010
http://www.scribd.com/doc/30040084/TAITZ-v-OBAMA-QW-23-MEMORANDUM-OPINION-dcd-04502943496-23-0
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
Swensson, Powell, Farrar and Welden v Obama, Administrative Law Judge Michael Mahili, State of Georgia Administrative Hearings, Farrar et. al., Welden, Swensson and Powell v Obama: “For the purposes of this analysis, the Court considered that Barack Obama was BORN in the United States. Therefore, as discussed in Ankeny, he became a citizen at birth and is a NATURAL BORN CITIZEN. Accordingly, President Barack Obama is eligible as a candidate for the presidential primary under O.C.G.A. under Section 21-2-5(b). February 3, 2012
http://www.scribd.com/doc/80424508/Swensson-Powell-Farrar-Welden-vs-Obama-Judge-Michael-Malihi-s-Final-Order-Georgia-Ballot-Access-Challenge-2-3-12
Allen v Obama, Arizona Superior Court Judge Richard E. Gordon: “Arizona courts are bound by United States Supreme Court precedent in construing the United States Constitution, and this precedent fully supports that President Obama is a NATURAL BORN CITIZEN under the Constitution and thus qualified to hold the office of President. Contrary to Plaintiff’s assertion, Minor v. Happersett, 88 U.S. 162 (1874), does not hold otherwise.”—Pima County Superior Court, Tuscon, Arizona, March 7, 2012
http://www.scribd.com/doc/84531299/AZ-2012-03-07-Allen-v-Obama-C20121317-ORDER-Dismissing-Complaint
Purpura & Moran v Obama: New Jersey Administrative Law Judge Jeff S. Masin: “No court, federal, state or administrative, has accepted the challengers’ position that Mr. Obama is not a “natural born Citizen” due to the acknowledged fact that his father was born in Kenya and was a British citizen by virtue of the then applicable British Nationality Act. Nor has the fact that Obama had, or may have had, dual citizenship at the time of his birth and thereafter been held to deny him the status of natural born. It is unnecessary to reinvent the wheel here. … The petitioners’ legal position on this issue, however well intentioned, has no merit in law. Thus, accepting for the point of this issue that Mr. Obama was BORN in Hawaii, he is a ‘NATURAL BORN CITIZEN’ regardless of the status of his father.” April 10, 2012
http://www.scribd.com/doc/88936737/2012-04-10-NJ-Purpura-Moran-v-Obama-Initial-Decision-of-ALJ-Masin-Apuzzo
Voeltz v Obama, Judge Terry P. Lewis, Leon County, Florida Circuit Court Judge: “However, the United States Supreme Court has concluded that ‘[e]very person BORN in the United States, and subject to the jurisdiction thereof, becomes at once a citizen of the United States. ‘Other courts that have considered the issue in the context of challenges to the qualifications of candidates for the office of President of the United States have come to the same conclusion.”—June 29, 2012
http://www.scribd.com/doc/99025994/FL-2012-06-29-Voeltz-v-Obama-order-dismissing-amended-complaint