Hmmmmm. Here’s an idea - a partial amnesty - no, wait, hear me out!
If you are an illegal and voluntarily surrender yourself but give up who your employer was, you still get deported but are not forever barred from applying to legally immigrate later. Then go after the employers.
Watch how fast the illegals’ departure (sans turning themselves in) is hastened by their erstwhile employers. Watch the formal deportations pay for themselves in employer fines.
The employers should be fined for every illegal they hire - i believe that’s still the law. that can help build the wall.