Here's how this is going to work. The illegal comes forward and is told he/she will have to pay a $2,000 fine, BUT, they will also find out that, as a low wage worker, they are entitled to up to $4,700 per year of work by way of the Earned Income Tax Credit. Assume they claim the maximum credit for 3 years for a total of $14,700. Now paying a $2,000 fine doesn't look so bad.
Many are already collecting EITC payments according to Senator Sessions. He also said that 22 million households collect EITC payments totalling $39 billion annually.