In a large saucepan, heat green chili over medium heat. Stir in pulled pork until the pork is warmed through.
Place half of the fries in desired baking dish. Top with half the cheddar cheese, half the Monterrey jack cheese and half the green chili pulled pork. Add the rest of the fries and top with remaining pork. Top with remaining beans and cheeses.
Place dish under broiler for 5 to 7 minutes, until the cheese is melted. Serve with additional green chili sauce, sliced jalapeño, sour cream, chopped cilantro and lime wedges.