In a medium bowl, combine all of the ingredients for the Meatballs except for the cheese. Mix until well combined. Separate into 9 meatballs of approximately even weight. (This is very important so that the meatballs all cook in the same time on the grill.)
Working with 1 meatball at a time, flatten it out into a large disc. Add a small amount of shredded cheese to the center of the disc. Carefully roll the sides up until the disc is again shaped like a round meatball.
Thread meatballs, zucchini, peppers, and onions onto 6 skewers.
Meanwhile, combine the ingredients for the Herb Mixture in a small bowl. Mix until well combined.
Place kabobs on grill, and brush the veggies with approximately half of the Herb Mixture. Grill over medium-high heat for 5-6 minutes.
Rotate kabobs, and brush the veggies with remaining Herb Mixture. Continue grilling for another 5-6 minutes, or until meatballs are done. (Food Safety Tip: Ground beef should be cooked to an internal temperature of 160F degrees.)