Obama’s ineligibility is manifested in his immigration file and not his birth records.
A usurper violates the Appointments Clause of the U.S. Constitution everytime he an appointment. Judges and Cabinet Secretaries appointed by Obama are ripe for an eligibility challenge each time the Judge or Cabinet Secretary orders an adverse action to taken against a particular entity.
To avoid the De Facto Officer Doctrine, the Judge or Cabinet Sec. should be objected to at the beginning.
“Objection! You were appointed by a usurper in violation of the Appointments Clause of the US Constitution.”
I don’t think it would matter at this point . Let’s say there was incontrovertible proof that Obama wasn’t qualified. What could be done? File a lawsuit, I suppose. Let’s say that happens and it gets to SCOTUS. All the they’d do is declare it a “political question” and deny jurisdiction. No way SCOTUS would touch that one with a 10 foot pole. I’m not happy about that, but as a lawyer I gotta say that’s probably how it would go down.