I decided to Google “President Eisenhower deportation of illegal immigrants”. Below is a Wiki article. A key point is that Mexico ASKED US to send them back and cooperated fully with the program. This is unlikely to be the case this time. THe number deported was slightly more than 1 million.
https://en.wikipedia.org/wiki/Operation_Wetback
If they refuse to take them back Trump can hit them with tariffs, that already worked once.