Cook pasta according to package directions; drain.
Meanwhile, in a large skillet, cook the garlic in hot oil over medium-high heat for 30 seconds. Add chicken, basil, and crushed red pepper. Cook and stir for 4 minutes or until browned. Add chicken broth, dried tomatoes, and white wine. Bring to boiling; reduce heat. Simmer, uncovered, about 10 minutes or until chicken is tender and no longer pink. Stir in whipping cream and the 1/4 cup Parmesan cheese; simmer for 2 minutes more. Stir pasta into chicken mixture. Heat through. Pass additional Parmesan cheese, if desired. Makes 4-main dish servings.