If a total stranger came through your front door without permission, you would not view him as an immigrant, but as an intruder.
An immigrant is someone who legally seeks permission to enter a country and concordantly agrees to submit to the laws of the land.
Those currently flooding our southern borders are not immigrants. I believe they are illegal intruders.
While we understand their desire for a better life in this country, we also understand the potential devastation their great numbers may cause our already over-burdened systems. In time, the U.S. might even cease being the exceptional country we cherish, and the country they sought to enter.