If that is what happens, the Pub primary season for House races might get a lot more interesting. Some forces out there might be motivated to try to cull the Freedom Caucus.
I think there is no shortage of money and experienced party leaders who would sign onto that, but I really wonder what the message of that campaign would be. It's just way too easy to paint opposition to the Freedom Caucus as being "less conservative" or "more moderate," the same way Modern Orthodox Jews are misleadingly referred to as "less religious" or "less observant" than Haredim.
I would worry that the Freedom Caucus is going to attempt to expand its ranks with more David Brats.