Peel shrimp, leaving tails on; devein, if desired. Place in a heavy-duty zip-top plastic bag. Place chicken strips in a separate heavy-duty zip-top Stir together garlic and next 5 ingredients; pour half of marinade over shrimp and half over chicken. Seal bags, and marinate in refrigerator 30 minutes.
Soak 6-inch wooden skewers in warm water 30 minutes. Remove shrimp from marinade, discarding marinade. Thread shrimp onto skewers. Repeat with chicken.
Grill chicken, covered with grill lid, over medium-high heat (350° to 400°) 5 minutes on each side. Add shrimp; cook 2 minutes on each side or until shrimp and chicken are done. Serve with Peanut Dipping Sauce.