TOSS chicken with 1/4 cup marinade and garlic. Refrigerate 20 min. to marinate. Meanwhile, cook spaghetti in large saucepan as directed on package, omitting salt.
MIX dressing, remaining marinade and ginger. Remove chicken from marinade mixture; discard marinade mixture. Cook and stir chicken, peppers, carrots and onions in large nonstick skillet on medium heat 8 to 10 min. or until chicken is done. Stir in dressing mixture.
DRAIN spaghetti; return to pan. Add chicken mixture and 3 Tbsp. cilantro; mix lightly. Spoon into bowl; sprinkle with remaining cilantro and nuts.