It would probably take about 80-100 conservative GOP representatives to formally resign from the house Republican Caucus and form their own party/caucus in order to force Boehner out as Speaker, due to he no longer enjoying the majority of House support required to hold on to his Speakership.
With this many conservatives exiting the GOP house caucus, it will force a special House election for a new Speaker. This large number of defections will also provide insurance against any effort to get a dozen or two Democrats to be able to cross party lines and vote to keep Boehner on as Speaker.
Queen Nancy Pelosi may well end up as Speaker again, if only for a very brief time, until the GOP caucus defectors rejoin the rest of the GOP caucus to again form a House majority, but only after getting the rest of the GOP caucus to accept their conditions for return.
The conservative defectors from the GOP caucus can agree to return to the GOP caucus, but first force the remaining members of the GOP caucus to reject any of the current GOP leadership from assuming the Speakership and insist that the new Speaker bring back the Gingrich/Hastert rule that if any bill up for House Consideration does not enjoy the majority support from the GOP Caucus, then the bill will be pulled from the floor by the Speaker and not voted on.
The Speaker, on their own authority, can pull any bill from the floor of the House and block any vote on it. To override the Speaker and force a vote on any bill that they may pull, the House must come up with a super majority (two thirds majority) to override the Speaker and force a vote on any bill that the Speaker blocks from a House vote.
Those are some really tough odds and dire circumstances but I thank you for laying out the scenario. Primaries seem to be the only way to go.. Just wow. And if this isn’t done right, 0bama will succeed in destroying what’s left of the Republican Party. I don’t think we have the numbers just yet to get it right...at least not for a few years. Sickening..