Chicken Suiza Chilaquiles

Name: Chicken Suiza Chilaquiles
Ingredients: 10 medium corn tortillas, cut in half then into 2-inch wide strips; Cooking spray; Salt; 3 poblano peppers; 6 large tomatillos, peeled; 3 to 4 cloves garlic, in skins; 1 onion, peeled and cut into wedges; 1 tablespoon canola or vegetable oil; 1 tablespoon honey or agave syrup; 1 teaspoon ground cumin, 1/3 palmful; Small handful fresh cilantro plus a few leaves for garnish; 1 lime, juiced; Pepper; 1 1/2 to 2 cups chicken stock, reserved from Poached Chicken, recipe follows; 1/2 cup crema, creme fraiche or sour cream; 3 cups Poached Chicken, pulled or chopped into bite-size pieces, recipe follows; 1/2 cup shredded Swiss; 1/2 cup shredded Jack cheese; Red onion, thinly sliced rings, for garnish; 1 whole chicken, 5 pounds; 2 bay leaves; 2 carrots, coarsely chopped, with stems, if you have them; 2 large cloves garlic, crushed; 1 lemon, sliced; 1 onion, quartered; A few stalks celery with leafy tops, coarsely chopped; A small handful of parsley with stems; A few peppercorns