Heck, why not abolish ICE. Put the military on the border with orders to not let anyone across. Shutting down all immigration would give more jobs to US workers and ease the use of our infrastructures. California would have enough water for all its legal citizens. Taxes would fall drastically. Crimes would fall.
ICE is not just about Border patrol or Illegals, they have responsibility for over 400 different items, well beyond what you posit.