None of this nonsense about the parentage is going to be considered by the Court.
I understand that you are offended by the anchor baby president hypothetical--so am I. So what? The remedy for that is to amend the Constitution. Because that is the law, little though we like it.
There is a nice clear record proving that he was born in Kenya--all that is required is to get it before a judge who has jurisdiction on a claim that is justiciable. And his birth in Kenya makes him ineligible to act as President so you ought to be able to do that by direct challenge to the consequence of an act required by the Constitution to be taken by the President.
It's not hypothetical. It's your assertion of what the constitution stands for. Kids born on US soil to two non-citizen parents, then moved to the parents' native land and raised there, is constitutionally qualified for the presidency. You find that to be an effect of the 14th amendment.
Your contention that "Any third generation person born in America to two parents who were born in America [and grandfather was a Euro citizen] is a dual citizen" has got to be an April Fools joke.
Pretty much. But the requirement is "born of parents who were citizens" at the time of the birth. Doesn't matter if some other nation claims the parents, or the child, as a citizen. But both parents must have been citizens at the time. Naturalized, native born, or natural born, don't matter, just citizenship.
In general the birth must have been "in the United States", however children of diplomats and military are considered "born in the country" becaue they were outside of it in its service, and thus never left it's jurisdiction.