The illegal alien problem, by and large, isn't driven by employers who were honestly fooled after a routine check of SSN, green-card records, and the like came back OK. It is driven by employers who simply don't bother, or who actively prefer to employ illegals (because they can be threatened with deportation if they complain about unsafe conditions, lousy pay, etc).
Exploiting the issue to sneak in the government's pre-existing your-papers-please agenda is unacceptable.
O.K.
That makes sense to me.