Since the government is nationalizing other industries they should buy a hotel chain for this, say Residence Inns and rename it Illegal Residence Inns.
U.S. to house detained migrants in converted hotels
Obama could put Bertha Lewis in charge of this program. That way she could register them when they sign in. Kills two birds with one stone. Then she could find them a nice cozy home at a really good interest rate so they can start getting their government benfits checks sent right to them.