Your courts are lacking the jurisdiction as well as the ability to determine what is a "Natural Born Citizen". This stems from the simple fact that they don't know what they're talking about! So....what else is new?
In U.S. v Wong Kim Ark (U.S. Supreme Court 1896) the decision was that he was a "Native Born Citizen"......not "Natural Born". Big difference. As a native born he would have been able to sit in the House of Representatives as an elected member; He could have run and been elected to the U.S. Senate and even had been appointed a Supreme Court Justice......but he would not have (Constitutionally) been able to serve as the "Commander in Chief". Big difference.
From the decision: The foregoing considerations and authorities irresistibly lead us to these conclusions: The fourteenth amendment affirms the ancient and fundamental rule of citizenship by birth within the territory, in the allegiance and under the protection of the country, including all children here born of resident aliens.....Every citizen or subject of another country, while domiciled here, is within the allegiance and the protection, and consequently subject to the jurisdiction, of the United States. His allegiance to the United States is direct and immediate…and his child, as said by Mr. Binney in his essay before quoted, ‘If born in the country, is as much a citizen as the natural-born child of a citizen.
As you can see.....Justice Gray compares two children (“…and his child… ‘If born in the country, is as much a citizen as the natural-born child of a citizen…”)
That's very revealing. The Supreme Court mentions the U.S. born child of a resident alien ( Wong Kim Ark), Native Born and compares him to a child born of U.S. citizens , Natural Born.
Needless to say.....most folks cannot get their heads wrapped around the concept of Natural Born......because it's no longer taught properly.....and they're clueless! Some folks even seem to think "Natural Born" means something other than a "C-section".
Barack Obama is the son of a one time resident alien. The New Jersey Court (in your example) has spilled "Stupid Sauce" all over themselves.
C'est la Vie.........
Quotations from the majority decision in US v. Wong Kim Ark:
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’”
The Wong court also said:
“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.’”
and:
“…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.”
and:
“ 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.”
United States v. Wong Kim Ark (1898)
So, the Supreme Court ruled in US v. Wong Kim Ark that Wong was a natural born citizen. Wong could not be a naturalized citizen due to the Chinese Exclusion Act which was in force at that time.
And specifically with regard to the eligibility of Barack Obama: Ankeny v Daniels, Indiana A three judge panel of the Indiana Court of Appeals ruled unanimously: “Based on the language of Article II, Section 1, Clause 4 and the guidance provided by Wong Kim Ark, we conclude that persons born within the United States are ‘natural born citizens’ for Article II, Section 1 purposes, regardless of the citizenship of their parents.”—Indiana Court of Appeals, November 12, 2009
http://www.in.gov/judiciary/opinions/pdf/11120903.ebb.pdf
and: Swensson, Powell, Farrar and Welden v Obama, Administrative Law Judge Michael Mahili, State of Georgia Administrative Hearings: “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