1. Let dough rest, covered, at room temperature for 30 minutes.
2. Preheat oven to 450°.
3. Heat a large skillet over medium-high heat. Add 1 1/2 teaspoons oil, chicken, and sausage; sauté 5 minutes. Remove mixture from pan. Add 1 tablespoon oil to pan; swirl. Add onion, mushrooms, and garlic; sauté 5 minutes, stirring constantly.
4. Punch dough down. Sprinkle a baking sheet with cornmeal. Roll dough out to a 14-inch circle on baking sheet. Brush dough with 1 tablespoon oil; sprinkle with 2 ounces cheese. Arrange chicken mixture, vegetable mixture, and bell pepper over cheese, leaving a 1/4-inch border. Top with remaining cheese and crushed red pepper. Bake at 450° for 20 minutes or until golden. Sprinkle with herbs. Cut into slices.