Step 1: Build the fence add more border agents. Instead of locking them up, allow them to do their jobs.
Step 2: Cut off ability for employers to hire illegals. Punish banks or other institutions that allow illegals to open accounts or conduct business. Punish any city that declares themselves a "sanctuary" for illegals.
Until that is done, Fred's idea of 'self-deportation' will never happen.
Cut off the employers and send that crowd into a hometown near you looking to survive.