I think the larger issue is allowing those who purport to be refugees into the country in the first place. Once they're here, they're here. You can house them in your house, a church, or under a bridge in a cardboard box if you like, but the fact remains they are here.
It's very difficult to round them up once they go underground, unless they get caught doing something stupid.
We have seen ample evidence of what happens when bleeding heart liberals in Germany and Sweden allow certain refugees into their country. No respect for the rule of law, no respect for private property ownership, no respect for anything at all other than what they want. They'll lie, cheat, steal, beat people up, terrorize their benefactors, all because some of them are truly persecuted.
I think it's naivete personified.