I know a fair number of people who are US born and have what appears to be a Central American complexion. I imagine much of the HN readership can get by without income for the time it can take a citizen, or someone with perfectly legitimate immigration status, to establish his or her bona fides to ICE. Not everybody who is getting in can.
And have you looked into the big employers, not Harriet Homeowner, but the meat packing plants, to see how carefully they examine documents?
Hell, have you examined the Trump organization's record?
The larger an employer's size, the more likely they are to do business with the federal government, which mandates the use of E-Verify.
(And frankly, I'd rather my money goes to someone who really needs the money, not a corporate service.)