Double border patrol and INS and immigration judges.
Change the law: If anyone is caught on US soil and determined to be here illegally, whether from illegal crossing of the border, overstaying VISA, disobeying terms of VISA or green card or temporary work permit, missing court date for asylum determination, if they are arrested for any reason immediately place them in a detention center. Give them a hearing within 14 days to determine their country of origin and whether they have previously been deported:
If they were arrested for a felony, hold them no bail, give them a speedy trial, if convicted make them serve their sentence and then immediately deport them. If not convicted immediately deport them.
If they have previously been deported, give then 2 years in a Federal Pen and then deport them. If they have previously been deported twice make the sentence 25 years.
Anyone caught employing persons who are in the country illegally shall be subject to penalties up to a million $$ fine, 5 years in prison, or both.