Whisk Worcestershire, broth, vinegar, green onions, garlic, oil, mustard, ginger, sugar, and pepper in bowl. Reserve 1/4 cup; pour remainder into plastic bag. Add pork; seal. Marinate 15 minutes.
Prepare grill or heat broiler. Thread pork on 6 metal skewers. Grill 5 inches from heat, turning, 10 to 15 minutes or until cooked through, basting with marinade for first 5 minutes of grilling. Or broil 5 inches from heat, turning, 8 to 12 minutes, until cooked through, basting with marinade for first 5 minutes of broiling. Remove from grill or broiler. Baste with reserved marinade; serve.
Grill or broil peaches, cut side down, 2 minutes. Turn over; sprinkle with sugar; grill or broil for 2 minutes more or until softened. (Or thread peach cubes on kabobs with pork in step 2.) Makes 6 servings.