Very simple....legalization by permanent registry with NO citizenship option for those who came here illegally. For their minor children, permanent residency with an option to apply for citizenship on reaching 21, dependent on having a clean legal record and completing available schooling OR serving a term in one of the branches of the US military and being discharged honorably.
This means they can do anything and everything a citizen does EXCEPT influence the passage of laws by voting. An option they have already proven they don't deserve by their manner of entry.
I like it!
I like it!