Don’t sacrifice the English language for Conservative PC. They are, indeed, immigrants if they migrate here to live permanently. The legality of that status is another question. The reality of the status is just the English Language. If they move their residence, legally or illegally to another country they are migrants. Leaving the home country makes them emigrants. Entering another country for the purpose of dwelling there is immigration. There are other terms for illegal migrants, one being the ancient and honoredterm “wetbacks” for those who cross the southern border into Texas.