Combine chicken, yogurt, 1/2 teaspoon basil, and 1/2 teaspoon oregano in a shallow dish; stir well. Cover and marinate in refrigerator 30 minutes.
Coat a large nonstick skillet with cooking spray; add oil. Place over medium heat until hot. Add onion and red pepper; cook, stirring constantly, 3 to 5 minutes. Add remaining 1/2 teaspoon basil and 1/2 teaspoon oregano; stir in garlic. Cook 1 minute, stirring frequently. Add mushrooms and peas. Cook over medium-high heat 3 to 4 minutes or until mushrooms begin to brown, stirring frequently. Add wine; cook over medium heat until liquid evaporates, stirring occasionally. Sprinkle with flour, stirring well. Add broth; bring just to a simmer over low heat, stirring frequently. Add Neufcha@Gtel cheese, salt, and nutmeg. Cook 3 to 5 minutes or until cheese melts and mixture is smooth, stirring frequently. Remove from heat; stir in parsley and Parmesan cheese. Set aside, and keep warm.
Cook pasta according to package directions, omitting salt and fat and drain well. Combine pasta and vegetable mixture and toss well. Set aside,and keep warm. Remove chicken from marinade, discarding marinade.
Coat grill rack with cooking spray; place on grill over medium-hot coals (350° to 400°). Place chicken on rack; grill, covered, 3 to 4 minutes on each side or until chicken is done.
Remove chicken from grill; let stand 5 minutes. Slice diagonally across grain into thin strips.
Spoon pasta mixture onto a serving platter; top with chicken strips. Serve immediately.