Preheat the grill to medium-high.
Place the chorizo in a food processor and process until finely chopped (sausage should appear crumbly.) Transfer to a large bowl and add the ground pork, garlic, Worcestershire, Essence, salt and cayenne and mix gently but thoroughly, being careful not to overwork the mixture. Form the mixture into 4 (1-inch) thick patties, about 8 ounces each, and place on the grill. Cook to desired doneness, about 5 minutes per side for medium. During the last 2 minutes of grilling, toast the buns and sprinkle the cheese over the tops of the burgers, if desired, and cook until melted.
Transfer the burgers to the bottom of the buns and place on plates. Generously top each burger with 2 tablespoons of the Green Chile Mayonnaise and place the tops of the buns over the sauce. Serve immediately.
Yield: 4 servings