While that would be my preference, I think I could settle for making anything with respect to illegals (support, employment, entitlement, representation, and funding) patently illegal and punishable by real jail time.
It’s called “making this country inhospitable and hostile” to them. They would eventually go home or exist in the shadows, eventually to be caught and deported.
To make illegal Mexicans go home is not unreasonable. They almost always have a home to go back to in Mexico.