Preparation Melt butter in large skillet over medium-high heat. Add onions and garlic; sauté until tender, about 5 minutes. Add all chiles; sauté until beginning to soften, 12 to 14 minutes. Stir in ground chiles and next 4 ingredients. Transfer vegetable mixture to bowl. DO AHEAD: Can be made 1 day ahead. Cool, then cover and chill. Preheat oven to 375°F. Butter 15 x 10 x 2- inch glass baking dish. Stir cilantro into vegetable mixture. Place cornbread cubes in very large bowl; add vegetable mixture and toss gently. Toss in cheese, if using. Whisk eggs and broth in medium bowl, then pour over stuffing and toss gently to moisten. Transfer stuffing to prepared dish. Cover dish with buttered foil, buttered side down. Bake stuffing until heated through, about 30 minutes. Remove foil; bake until top is golden, about 30 minutes longer.
Preparation Melt butter in large skillet over medium-high heat. Add onions and garlic; sauté until tender, about 5 minutes. Add all chiles; sauté until beginning to soften, 12 to 14 minutes. Stir in ground chiles and next 4 ingredients. Transfer vegetable mixture to bowl. DO AHEAD: Can be made 1 day ahead. Cool, then cover and chill. Preheat oven to 375°F. Butter 15 x 10 x 2- inch glass baking dish. Stir cilantro into vegetable mixture. Place cornbread cubes in very large bowl; add vegetable mixture and toss gently. Toss in cheese, if using. Whisk eggs and broth in medium bowl, then pour over stuffing and toss gently to moisten. Transfer stuffing to prepared dish. Cover dish with buttered foil, buttered side down. Bake stuffing until heated through, about 30 minutes. Remove foil; bake until top is golden, about 30 minutes longer.