Sure they do, if he was never qualified to be President then how can he, as President, be impeached?
That said, if he is not an NBC his mere presence acting in the office is criminal, and those having the power to throw him out, by not doing so, become co-conspirators.
Qualified or not, he's still the President. And the impeachment process is the only way to remove a president.
That said, if he is not an NBC his mere presence acting in the office is criminal, and those having the power to throw him out, by not doing so, become co-conspirators.
That is true. However, other than the ballot box, there is no way to enforce it.