We already do. We always have been.

It's also barely a problem, because undocumented folks offend at significantly lower rates than domestic-born citizens. Less than half, in fact.

NIJ, no friend of immigrants, has a whole stats-supported article on it:

November 27, 2024 - 15:54 UTC

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And here is another article that summarizes the findings of a linked document that is heavily cited and supported by statistical evidence, which also concludes that crimes are committed by undocumented immigrants at a much lower rate than natural citizens:
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