I think you just answered your own question. The problems of immigration in the 80s are dwarfed by what's happening today. What Reagan said then has little bearing on our own current crisis. Looked at another way, should we take FDRs words to heart that we should have a great society of big government when we have seen the results of what that big government brings?
I have proven, beyond a shadow of reasonable doubt, how Ronald Reagan felt about immigration when faced with the worst immigration problem that the US had ever faced.
All you have to do is prove to me that he would have felt different today.
Here's a hint before you go crazy....you can't, it's impossible.