"Might makes right" is not only a pretty heartless ideology but one that I don't think works well most of the time. It seems like the prior application of that policy caused much of our immigration today.

> if they are making our lives worse

They (legal and illegal immigrants, for this discussion specifically from Latin America but I suspect more broadly) certainly are making my life better and I'm not convinced that they're making the life of the average American worse.

I've seen a lot of convincing arguments for why immigration helps us, and they seem to mesh with my understanding of immigration to the US being historically a good thing. I can't say the same for arguments from the other side. Often the claims are totally baseless, such as claims that illegal immigrants are as a whole dangerous, despite having a lower incarceration rate than US-born citizens. Other times they're just myopic (most of the claims related to jobs imo). Sometimes they're just blatant racism (white-replacement theories).