According to statistics compiled by the Department of Homeland Security (DHS), during 2004 alone, 540 Israelis were deported or about to be deported. If that many Israelis were caught, it stands to reason that there are many thousands more -- in Los Angeles as well as the rest of the United States -- who have not yet been located by authorities.
These days, so much depends upon language. One person's "civil war" is another's "random violence." Someone's "unlawful wiretapping" is someone else's "terrorist surveillance."
In that sense, whether you use "illegal aliens" or "undocumented residents" partly depends on how you view immigration. But whatever your political attitude, if you think that every illegal/undocumented came into the United States guided by a coyote, then think again.