I don't think McCarthy will bring any immigration bill to a vote because he has a very small margin of votes in the house. He has to maintain support of the freedom caucus and they can hold up the entire government. Even the must pass bills like debt ceiling or government budget bills will even be hard to pass.

It'll be very interesting because McCarthy can easily get support from moderate dems and not rely on freedom caucus votes if he's a moderate speaker, but these days bi-partisanship is almost a sin... even when he gave concessions to the freedom caucus and they still didn't vote for them. They humiliated him for a week. When the must pass bills come later this year, there's going to be a lot of dysfunction.

Hopefully the next two years won't be a shit show but I wouldn't bet on it.