The US is in the news now. It has something like five million illegal immigrants that work for next to nothing. Losing that source of cheap labour would be a wrenching change.
I have a hunch that mass deportations have an accelerationist origin. If Heritage Foundation ultimately thinks depopulation and mass automation are tenable and on their way, a supply shock in the labor market could spark some change. Not unlike the Death Plague contributed to the rise of wealthy craftsman and merchant class.