"Latino voters broke heavily for Obama even though he set records for deporting undocumented migrants."
So one might reasonably conclude that Latinos broke heavily for Obama for some reason other than immigration policy, no? Could it be that they voted heavily for Obama because he's the guy promising to take care of their every need through government social programs?
I don't follow the logic. Obama carried the Latino vote while deporting illegals in supposedly record numbers, and you suggest that the way to win the Latino vote is to do the opposite.