HEAT dressing in large nonstick skillet on medium-high heat. Add chicken; cook 10 min. or until evenly browned, turning occasionally.
STIR in next 4 ingredients; cover. Simmer on medium-low heat 20 min. or until chicken is done (165°F), stirring occasionally. Meanwhile, cook spaghetti as directed on package.
REMOVE skillet from heat. Add Parmesan to chicken mixture; stir. Sprinkle with mozzarella; let stand 5 min. or until melted.
DRAIN spaghetti; place on platter. Top with chicken and sauce.