I've made this point before and usually the antis come out screaming that I'm making things up and E-Verify is perfect. But you've been warned.

I am not against continuing E-Verify. But I certainly want a system set
up where a worker protesting the findings will have the right to
continue working until the matter is resolved once and for all. Same
for no match letters under the new rule. And for those who think I'm
wrong regarding the protection of workers, the worker is only protected
until DHS issues a final non-confirmation. But this is hardly adequate.
An American worker should entitled to make his or her case in front of
an independent judge. For those who think unlawfully present immigrants
will take advantage, common sense says that someone illegally in the US
is hardly likely to put themselves in such obvious jeopardy of
detection and deportation.