While poking around on the net I noticed a few rec's for a place called Anita's New Mexico Style. I then did a CH search and found a couple of very positive posts about it from 2002. This is one of those questions that comes up on the LA board with regularity and thought that I would post this for those who may be looking for this style of food and not know about this restaurant.
Anita's New Mexico Style
600 S. Harbor Blvd.
714 525 0977
They may have an additional location, but am not certain of that.