HEAT 1 Tbsp. of the dressing in large skillet on medium-high heat. Add onions and chorizo; cook 10 min. to brown chorizo, stirring occasionally. Add remaining 3 Tbsp. dressing, artichokes and red pepper; bring to boil. Reduce heat to low; simmer 7 to 10 min. or until chorizo is cooked through.
ADD tomatoes, chicken broth and shrimp; cover. Cook 5 to 8 min. or until shrimp is pink and vegetables are heated through.
MEANWHILE, cook pasta as directed on package; drain. Toss pasta with meat mixture and cheese; sprinkle with parsley. Serve immediately.