To make the Peanut Dressing: In a small bowl, whisk together lime juice, soy sauce, peanut butter, honey, ginger, garlic, and cayenne pepper. Refrigerate until ready to use.
Cook Nasoya Chinese noodles according to package directions.
On each plate, divide and layer the lettuce, cabbage, sprouts, chicken, and red bell pepper. Divide the warm noodles on top of the salads. Drizzle the cold dressing on top of each salad.
Sprinkle each salad with some scallions.