Add the first 7 ingredients to a bowl, then add the chicken. Cover and marinate in the refrigerator for at least 30 minutes.
While the chicken is marinating, mix up the salad dressing. Add the ingredients to a sealable glass jar and shake to combine. Set aside.
In a large bowl mix together the cabbage, green onions, carrots, bell peppers, cilantro, almonds, and cashews. Stir to combine.
Preheat the grill to 400° F(200°C). Grill the chicken for 5-7 minutes per side, until the internal temperature reaches 165° F(75°C).
Top the salad with the grilled chicken, sesame dressing, sesame seed, and jalapeno slices.