I'm a pro-immigration grandson of four legal immigrants from the turn of the 19th century. But illegal immigrants are called "dreamers" or merely "undocumented," the inherent disrespect for the basic notions of sovereign borders and the rule of law infuriates even me.
I think a reasonable policy response would be to class every liable (i.e. no kids) undocumented immigrant into a higher tax base for ~5 years once they make more than a certain amount of COL adjusted income.