Make the vinaigrette by combining in a food processor the shallot, garlic, parsley, chives, basil, dill, mustard, lemon, vinegar. and oil; process until smooth. Lay the vegetables on a tray and drizzle them with a small amount of vinaigrette, turning them to coat them evenly. Allow the vegetables to marinate for about a half hour. Preheat a grill to medium hot, grill the vegetables and then arrange them on a large platter. Drizzle with additional vinaigrette. Serve warm or at room temperature.