Years ago I was hit by some illegal immigrants, a drunken hit&run. But I got enough info for the police to pick them up as they left another bar. Their illegal status became a "get out of jail free" card as ICE shipped them off the next day. 
Is it a good idea for illegals to be tested and have the proper insurance? Yes. But why are we making it easier for them to stay here?  I wonder, are their DMV records subject to FOIA requests from ICE?