It could go a couple of ways - Trump could fix immigration - if "they" can remove the anti-Trump Repubs in the house or pick up a few extra seats then he has a good chance.

If he doesn't then I see a shift to socially conservative (in the religious sense) but pro-welfare.

New immigrants in general are socially conservative. As are a big chunk of current Dem voters - my extended family are all catholic and vote Dems.