In a large saucepan, combine the first 11 ingredients; bring to a boil. Reduce heat; simmer, uncovered, 1 to 1-1/2 hours or until thickened, stirring occasionally. Remove half of the sauce; reserve for brushing chicken. Keep remaining sauce warm for serving.
Grill chicken, covered, over medium heat 25-35 minutes or until juices run clear, turning occasionally and brushing with reserved sauce during the last 10 minutes. Serve with remaining sauce.