In a large bowl, combine 2 cups cheddar cheese, Monterey Jack cheese, chicken, sour cream, soup, chilies, onion, pepper and salt. Spoon about 1/2 cup off center on each tortilla; roll up. Place seam side down in a greased 13-in. x 9-in. baking dish.
Cover and bake at 350° for 20 minutes. Uncover; sprinkle with remaining cheddar cheese. Bake 5 minutes longer or until cheese is melted. Let stand for 10 minutes before serving. Yield: 8 servings.