> Maybe, or maybe they just employ less people and less things get built.
The foreign born population residing in the US fell from ~15% to ~5% from 1920-1970. It was one of the most prosperous and productive periods in human history.
We can only employ natives if we want, we just have to accept that prices of things that are currently run on immigrant labor will go up, and a lot less of it will be produced. Personally I am unwilling to make that tradeoff but obviously you dont have to agree. US labor market suffers seriously from baumol's cost disease, only solution to that is immigration with the understanding that immigrants will take unwanted jobs in exchange for a better life for their kids.