Is he eligible?
Again, yes. You keep introducing this non-sequitor of natural born citizen, that’s been answered. It’s been answered by 50 Secretary’s of state, the Electorial college and Congress and the CJ-SCOTUS have all weighted in as well in one form or another.
And the fact that every single lawsuit that has been started by birthers has been slapped silly out of court.
Your obsession is unhealthy.
1. Is Obama President of the United States?
2. How is a President constitutionally removed from office?
The answer is
1. Yes.
2. They become Incapacitated , they are Impeached.
There are no other answers.
If a person is ineligible they are not President, even if occupying the office.