If it can be proven that Obamuzzie lied to GET ON THE BALLOT in AZ then he gets no protection at all as president. He might very well whine and bitch but he gets no federal protection. We had a totally similar circumstance here in Oregon a few years back when Wes Cooley lied about his bio on the ballot background form——claimed he was a Korean war vet but had never been in Korea. He got elected but had the choice of resigning or being prosectuted. He resigned. This was at the state level and I imagine that any particular state, like, oh , say AZ could press charges and win if they could prove a fraud on the ballot. Impeachment might never come up if everything Obamuzzie ever signed becomes invalid. The speaker of the house might just ask him to clear out his gear pretty much like Nixon left town.
You are certainly free to think all that--you can think whatever you like.
But unless we come up with some practical legal remedy or other response for effective action, Obama is going to remain in office and continue to dismantle the Constitutional Republic.
The only way you are going to get him out is at the ballot box and he has control over that remedy so that in the event you come up with an effective candidate, he is going to keep you from exercising that remedy. And frankly, the Republican candidates don't look to me like they present much of a threat either.