::Crossing the border without documentation is NOT a crime.  It is a civil offense (illegal conduct but not criminal conduct).  Crossing the border again after being caught in this country without proper documentation and deported pursuant to official deportation procedures is when the conduct becomes a crime, and none of the sources comment on this aspect of the cases.  But as you say, it is the action that is illegal, and not the person.  Using "illegal" to describe a person is simply grammatically incorrect.  The action that is illegal is (1) not having proper documentation and (2) immigrating to another country.  (1) is covered by "undocumented" and (2) is covered by "immigrant."  I hope I have adequately explained this since you seem to not be understanding.  Also, one of the three sources does NOT use the term "illegal immigrant," and one of the other two sources uses the term "undocumented detainee."  So not only are you misrepresenting what the sources say, you are also misrepresenting what OR would be (as well as being wrong about whether all illegal immigration is a crime).