1. Whisk flour and 1/2 cup milk in saucepan until smooth. Whisk in remaining milk. Bring to boiling, whisking. Boil 1 minute or until thickened. Remove from heat.
2. Stir in nutmeg, salt, pepper, Parmesan and red-pepper seasoning. Reserve 1 cup of mixture for topping.
3. Place 2 layers of noodles in 13 x 9 x 2-inch baking dish. Spoon on half of broccoli, 3/4 cup Swiss cheese and half of white sauce. Add another 2 layers pasta. Spoon on remaining white sauce, remaining broccoli, 3/4 cup Swiss. Arrange 1 layer noodles on top. Spread with reserved 1 cup white sauce; sprinkle with remaining Swiss.
4. Bake in 350 degrees F oven 35 minutes. Let stand for 15 minutes before cutting.