I would expect illegal alien parents to take care of their children. If it means the kids go back home with them that's what happens. If it means there are legal relatives in the United States that can take care of them that can happen to. But I believe it's the parents responsibility to take care of the kids.
Such happiness as life is capable of comes from the full participation of all our powers in the endeavor to wrest from each changing situations of experience its own full and unique meaning.