That's funny. I don't recall any such "anti-discrimination law" that keeps an employer for ascertaining citizenship/immigration status. Please provide proof that such exists.
It isn't the occasional illegal that might be identified, it is the accusation against someone who is not illegal that will cause the law suit, and anyway with the difficulty in determining the status of anyone with paperwork, it is beyond the scope of the hirers to know if someone is or isn't, and you have to be able to prove that they are both willing accomplices. Just pray tell how does an employer find out the status of a person they want to hire, expecially when they have all the correct documents idicating they are citizens.