Grilled Vegetable Platter

In a small bowl, whisk the first 7 ingredients. Place 3 tablespoons marinade in a large bowl. Add vegetables; turn to coat. Cover; marinate 1-1/2 hours at room temperature., Transfer vegetables to a grilling grid; place grid on grill rack. Grill vegetables, covered, over medium heat until crisp-tender, 8-12 minutes, turning occasionally., Place vegetables on a large serving plate. Drizzle with remaining marinade.