Continue deporting until the supply dwindles to a trickle.
Take a close look at the labor market right now.
3% unemployement (and yes, that number is fake) means that to get more workers to job X, you must increase wages. No one in Wall Street wants to do that.
All that lobbying money is going to stopping deportation and enforcement. Trump hit the ag economy pretty hard, and cutting out their illegal labor would move a lot of red states blue. Businesses are looking at having to give real wage increases for the first time in decades, and are starting to realize that the only give is in upper lever salaries and perqs (Not something they will touch). Automation is proving much more expensive than planned and doesn’t provide the return promised (instead of replacing say 5 minimum wage works with one robot, you replace 3 and have to hire or contract people to keep said robot going).