So, how do you put the onus on illegals and employers without an ability to confirm they are legitimate? That’s what we have today without E-Verify.
The first thing is, most employers know damned well when they are hiring illegal aliens.
The second thing is, if they are hiring illegal aliens they are breaking the law.
Our justice system is just going to have to handle such law-breaking the way they handle all other lawbreaking: follow the Constitution. If they have probable cause, investigate. If they obtain evidence that the law has been broken, prosecute.