They did that in the end. In the decade leading up to the final solution they engaged in a lot of shenanigans that have already been replicated by maga.
I know you think you're being cute but some of us had grandparents that had to flee that shit and do not find quite so hilarious as you and your mates.
About a quarter of a million, hardly the biggest .. and importantly this was at the request of the Mexican Government who wanted many of the Mexican workers who entered the USofA to be returned to work in Mexico.
Despite the derogatory name https://en.wikipedia.org/wiki/Operation_Wetback was a attempt to appease the Mexican Government and get their continued support to provide "legal" Mexican labour to the USofA.