FOR THE SAUCE: Bring all ingredients to simmer in small saucepan over medium heat; cook, stirring occasionally, until sauce reaches ketchuplike consistency and is reduced to about 1 cup, 5 to 7 minutes. Transfer ½ cup sauce to small bowl and set aside to serve with cooked chops.
FOR THE CHOPS: Place soaked wood chips in shallow disposable aluminum pie plate and place plate on primary burner (burner that will remain on during barbecuing) and reposition cooking grate(s). Turn all burners to high, close lid, and heat until hot and chips are smoking, about 15 minutes. (If chips ignite, use water-filled spray bottle to extinguish.) Scrape cooking grate clean with grill brush. Leave primary burner on high and turn off other burner(s).
While grill is heating, pat chops dry with paper towels. Using sharp knife, cut 2 slits about 1 inch apart through outer layer of fat and connective tissue to prevent buckling. Sprinkle entire surface of each chop with 1 teaspoon salt and ½ teaspoon pepper. Place chops side by side, facing in same direction, on cutting board with curved rib bone facing down. Pass 2 skewers through loin muscle of each chop, close to bone, about 1 inch from each end. Once chops have been threaded onto skewers, pull apart to create 1-inch space between each.
Place skewered chops, bone-side down, on cooler side of grill, over aluminum pan. Cover grill and cook until instant-read thermometer inserted into center of pork chop, but away from any bone, registers 110 degrees, 20 to 25 minutes.
Remove skewers from chops; tip chops onto flat side and brush surface with 1 tablespoon sauce. Transfer chops, sauce-side down, to hotter parts of grill (2 on each side) and cook, covered, until browned, 4 to 7 minutes. Brush top of each chop with 1 tablespoon sauce; flip and continue to cook on second side until browned and instant-read thermometer inserted into center of pork chop, but away from any bone, registers 140 to 145 degrees, 4 to 7 minutes longer. Remove chops from grill and allow to rest, tented with foil, 5 minutes. Serve, passing ½ cup reserved sauce separately.