1. Prepare grill to medium-high heat.
2. To prepare vinaigrette, combine first 6 ingredients in a large bowl; set aside.
3. To prepare salad, coat asparagus, mushrooms, zucchini, squash, onion, and bell pepper with cooking spray. Place vegetables on grill rack; grill 4 minutes on each side or until slightly blackened. Remove vegetables from grill; cool slightly. Cut vegetables into 1-inch pieces.
4. Add vegetables, basil, chives, and parsley to vinaigrette; toss gently to coat. Sprinkle with cheese.