I tried a bit of googling around in spanish with an image search - most references show carnitas being served with a side of deep-fried chicharron, but
this blogger's list of all the stuff you can request in your serving includes all kinds of offal along with skin (combining the efforts of my limited spanish and the google-translator, I came up with something like this: lung, esophagus, something little that he doesn't know how to explain, leg, balls, skin, intestines, uterus, uterus mixed with esophagus, loin, ear, snout, cheek.) Belly I couldn't find specifically. I found another blog that referenced the belly and bacon meat (panceta) specifically, but didn't offer a recipe.
How it will turn out, I can't tell you - but carnitas as a nose-to-tail dish has precedent.