In a small bowl, combine first 7 ingredients. Remove 1/2 cup for basting, cover and refrigerate. Divide remaining marinade between 2 large resealable plastic bags. Add chicken to 1 bag; add kielbasa, pineapple and vegetables to the other bag. Seal bags and turn to coat. Refrigerate for at least 2 hours.
On 16 metal or soaked wooden skewers thread all the meat, pineapple and veggies.
Using long handles tongs, dip a paper towel in cooking oil and lightly coat the grill rack. Grill kabobs, covered, over medium heat or broil 4 inches from heat for 10-15 minutes or until chicken is no longer pink, turning frequently and basting with reserved marinade.