Combine all ingredients for dressing by whisking in small bowl or shaking together in a small mason jar with lid. Taste with a piece of kale or cabbage and adjust seasoning to taste.
Put the kale in a large bowl. Drizzle with a few tablespoons of the dressing and a generous pinch of sea salt. Massage the chopped kale with your hands until the kale is completely coated and slightly wilted.
Add shredded green and purple cabbages, carrots, and shredded chicken if using. Drizzle with the remaining dressing and toss gently to combine.
Divide salad among plates. Garnish each serving with toasted sesame seeds and chow meain noodle if using.
Store leftover dressed salad in a tightly covered container in the refrigerator for up to two days. Leftover dressed salad will take on a softer, marinated texture. Store leftover undressed prepped (i.e. washed, dried, and chopped) salad greens in the refrigerator for three days. Extra Miso Dressing will keep for five days in a tightly sealed container in the refrigerator.Nutrition information is an estimate for the salad with dressing, without optional chicken. Cooked chicken breast adds 113 calories, 21.6 g protein per serving.