No matter how hard you try, you can't make someone illegally holding an office into someone legit.
Do I think the Moodie story was invented? No. Am I familiar with the Constitution of North Dakota? No. Does a ruling on a state constitution set precedent for a federal matter? No. In other words, I’m wholly unqualified to discuss matters concerning the North Dakota constitution, other than to say it has no bearing on a federal matter.
For the record, while it’s not a popular opinion here, I believe that Obama is constitutionally qualified to be president. I believe he was born in HI, and that makes him a native citizen, and I refute the notion that native and natural born are anything other than synonymous.
That said, if Obama were to be foreign born, the only problem I can possibly see with impeachment would be that of succession. Ie, would the VP on a ticket with a president who was not eligible succeed that president in this circumstance? It’s a wholly academic question, because if such fraud were ever to be truly found, I’m certain that both would resign before it could be legally addressed on any level, thus avoiding a constitutional crisis. The speaker being a Republican, it would go unchallenged.