Does it? Maybe you just have not put enough detail in to comment. Let's start with the basics. Who is "They?"
How about make a deal with Mexico and offer to keep them at some sort of low cost budget resort in Mexico? Would certainly be a lot cheaper than what it's costing now. Maybe the US could pay for a military-style barracks to be built out in the middle of a barren part of Mexico where nobody lives, and the Mexican government could be paid to run it. Things are a lot cheaper in Mexico.