He would be voted out.
Except there won’t be a chance to vote him out. Every time there is non consensus, the Speaker vote gets delayed indefinitely until a consensus is found. Boehner stays in his roll all the while, handing Obama and the Democrats a victory on government funding and any other pet project Obama has in mind. I am rooting of the conservatives in our party, but I think we may have just been bested here. Boehner avoids a no confidence vote but stays in his role until the Presidential election thus guaranteeing the completion of Obama’s political legacy of success under Republican congressional majorities.
IMO Boehner saw that McCarthy was never going to get the votes, so they pulled this scam of McCarthy withdrawing and Boehner being the only one to "replace" him. The GOPe will prevent anyone else from getting 218 votes.