The key is to enforce laws against illegals getting employment or welfare. They will then self-deport.
If the man of the family is deported, families will follow.
That sounds harsh, but the financial burden of illegal dependent care... education, health care, etc. is crushing.
Also, prevent them from registering their anchor babies in public schools; in my area they often live in illegal apartments, working for cash (while receiving freebies), and burden the dwindling pool of American taxpayers with their upkeep.
School costs in NJ, which have been a target for years because of high teachers salaries and unfunded retirement benefits, are even more in focus now because so few of the students in this huge industry/drain of resources are American.