HEAT oven to 425°F.
LINE 2 (15x10x1-inch) pans with foil; spray with cooking spray. Set aside. Toss whole peppers, onions and garlic with 1/4 cup dressing; spread into 1 prepared pan. Toss eggplant and zucchini with remaining dressing; spread into remaining pan. Bake 25 min., stirring gently after 15 min. Cool.
REDUCE oven temperature to 350°F. Remove and discard skins and seeds from peppers; chop peppers and garlic. Combine vegetables; set aside. Mix Neufchatel, cottage cheese and egg until blended. Place 3 noodles on bottom of 13x9-inch pan sprayed with cooking spray; cover with layers of half each Neufchatel mixture, vegetable mixture and mozzarella. Repeat layers. Cover with foil.
BAKE 35 min. Remove foil; bake 10 min. Let stand 10 min. before cutting to serve.