Combine the Vegetables: Add the shredded purple cabbage, shredded green cabbage, sliced snap peas, thinly sliced red pepper, salted peanuts, and cilantro to a large bowl.
Make the Dressing: In a small bowl, combine the smooth all-natural peanut butter, lime juice, soy sauce, finely minced ginger, toasted sesame oil, finely minced garlic, and water, mixing until the dressing ingredients are well combined.
Dress the Coleslaw: Pour the prepared peanut dressing over the vegetables in the large bowl.
Toss to Coat: Toss the vegetables thoroughly so the dressing is distributed evenly throughout the cabbage, snap peas, red pepper, peanuts, and cilantro.
Serve Immediately: Serve the coleslaw right away to preserve the fresh, crisp texture of the vegetables.