Thread first 4 ingredients onto 8 (14-inch) metal skewers. Place in a baking dish or on a rimmed baking sheet.
Combine lime zest and next 6 ingredients in a jar; cover with lid, and shake to combine. Set aside 2 tablespoons. Brush marinade over skewers, turning to coat. Let stand 20 minutes.
Meanwhile, preheat grill to medium-high heat (350° to 400°). Grill skewers, turning once and brushing occasionally with marinade, 10 minutes or until done. Drizzle with reserved 2 tablespoons marinade before serving.