Mix first 5 ingredients and 1 tablespoon oil. Add chicken; toss to coat. Let stand 15 minutes., In a large nonstick skillet, heat remaining oil over medium-high heat; saute onion and peppers until crisp-tender, 3-4 minutes. Remove from pan., In same skillet, saute chicken mixture until no longer pink, 3-4 minutes. Stir in salsa and pepper mixture; heat through. Serve in tortillas. Sprinkle with cheese.