> Research shows that E-Verify harms the labor market outcomes of undocumented immigrants and improves the labor market outcomes of Mexican legal immigrants and U.S.-born Hispanics, but has no impact on labor market outcomes for non-Hispanic white Americans.[4] A 2016 study suggests that E-Verify reduces the number of undocumented immigrants in states that have mandated use of E-Verify for all employers, and further notes that the program may deter illegal immigration to the US in general.
That would actually solve the problem. The goal is ineffective grandstanding so the problem can keep being used as a divisive get out the vote issue (by both parties) in future elections. Better verification would also cost far less than a wall, making it a less effective way to distribute pork.