Cuba is the one exception. I know, I grew up in Tampa and had friends whose parents had land taken from them from Castro.
Illegal immigration and broad immigration is why CA is deep blue and is so unlikely to change in our lifetime.
Take asian immigration - especially from China. They are used to top down mandates, lockdowns and not questioning broad takings of power. It's not their fault, it is what they have seen since 1948 on. It is why if you go to SF, Seattle, etc. the only people still wearing masks are of asian descent.
I am not for broad immigration - and I have no interest in making it easier. Rather - we need to make it more INTENTIONAL. For example, as Pelosi (hilariously got dragged for) if we have a significant need for low skilled labor, and that profile is sitting at a legal port of entry - ok, then a decision is made based on our short/medium/long term supply demand needs. Same for engineering talent, etc. We let them in LEGALLY, they will pay taxes and we should also have a long period before they can vote.
When my great grandparents came - there was no safety net in place. They worked their tails off for what they had and a better life. They also recognized that they may not be accepted here.