Pour dressing over chicken; cover. Refrigerate 1 hour to marinate.
Drain chicken; discard marinade.
Mix vinegar and molasses until well blended; brush onto cut sides of peach halves. Set aside.
Preheat greased grill to medium heat. Grill chicken 8 min. on each side or until chicken is cooked through (180F), adding peaches to the grill for the last 6 min. of the chicken grilling time and turning and brushing peaches occasionally with any remaining vinegar mixture.