MIX 1 cup barbecue sauce with next 5 ingredients until blended; pour over chicken in large bowl; toss to evenly coat chicken. Refrigerate 30 min. to marinate.
HEAT grill to medium-high heat. Remove chicken from marinade; discard marinade.
GRILL chicken 20 min. or until done, turning occasionally and brushing with remaining barbecue sauce for the last 10 min.