They, the republicans, don’t need to have a vote per se. They need only poll themselves to see if 221 of their 232 caucus will send a message to Boehner that they have the votes to remove him.
True, but again, this is Congress - to do even that will take at least a day or longer. Remember that we are still talking about the federal gov’t here. Moreover, 221 out of 232 cannot be counted on. Remember, out of the Republicans who initially fought Obamacare, 12 caved within one day of the shutdown - and this was among Republicans that were actually involved in it.