Sorry, Jordan, of Long Beach, but chilaquiles DO NOT have eggs! chilaquiles typically are fried corn tortillas with a tomate and chili sauce sprinkled with Chihuahua or fresh cheese (you can substitute with Monterey Jack)..... if want it more fancy, add shredded cooked chicken. that is in all Mexico, I know, I was born and have lived 57 years here. Also, we usually fry tortillas first, then the sauce, then drop the tortillas chips back again, stir to cover them with sauce, sprinkle cheese and cook one or two minutes, to heat through.
if you fry eggs over a fried whole tortillas and sauce on top, then you have ranchero eggs... huevos rancheros....
we don't even add the beans in chilaquiles...... but then again, it is the cook's liking to add whatever they choose.