“They” is a minority of House Republicans. The majority of House Republicans are also frustrated with them. However, since the Republican majority is so razor thin, they are in a ‘most intolerant wins’ situation; where the most obstroctionist minority dictates what happens. If they can get a deal with even a few democrats, they can break the dynamic. Even the credible threat of doing so might be enough to pull everyone in line.

Having said that, the more plausible path is a deal where a more moderate Republican gets Democrat support (likely in exchange for rules changes giving the minority party more power)

I also assume it’ll never happen, but just bear in mind that the people looking to oust Johnson would be different from the people who might hypothetically be convinced to work with the Democrats.

The republicans have a very slim majority, needle thin. The reason why the vocal MAGA republicans can wield all this power to remove someone from the speaker position is that they can initiate a vote to remove a speaker for being too cooperative with democrats, while the democrats themselves will support any move to remove a republican from being the speaker. A somewhat ironic situation given that the MAGAs are basically working with the democrats to make this happen.

If the democrats can work with a group of moderate republicans to elect their preferred speaker, however, the MAGA republicans lose a lot of their power. They’d no longer have support from the democrat half of the house to remove the speaker and would instead need to somehow convince the moderate members of their party to follow their lead on any further attempts to oust the speaker, which they likely would not accomplish.

The Republicans who want to oust Johnson are different from the Republicans who are willing to reluctantly work with the Dems on basic governance.

So they can blame the democrat speaker for why nothing got done in the last 4 years?