Cut each rutabaga slice into quarters. Combine rutabaga, turnips, parsnip, and carrot in an 8-quart stockpot; cover with water. Bring to a boil, and cook 30 minutes or until tender. Drain. Stir in sugar and next 4 ingredients (sugar through pepper). Spoon vegetable mixture into a 13 x 9-inch baking dish coated with cooking spray. Spread Cheese Sauce over vegetable mixture.
Preheat oven to 350°.
Place bread in a food processor; pulse 10 times or until crumbly to measure 1 cup. Sprinkle crumbs on a baking sheet; bake at 350° for 5 minutes or until golden. Combine breadcrumbs and butter in a small bowl; sprinkle over sauce. Bake at 350° for 25 minutes or until bubbly. Let stand 10 minutes. Sprinkle with parsley.