Combine lettuce and cabbages in large bowl. Add chicken, red pepper, carrots, green onions, cilantro and peanuts. Toss until well blended.
Using a mini food processor or small blender, combine the dressing ingredients and blend until smooth. Salt to taste. If you like a sweeter dressing , add a little honey.
Add dressing and toss to combine. Divide into 4 servings and top with crunchy chow mien noodles.
Note: If you can, prepare dressing the night before (or several hours before) so the flavors have time to blend.