Preheat the oven to 425°F (220°C). Grease a 9 x 13-inch baking dish. In the prepared dish, whisk together the Alfredo sauce, chicken broth, wine, onion, garlic, and drained red peppers.
Stir in the uncooked pasta, making sure that most of the noodles are evenly submerged in the liquid.
Cover tightly with aluminum foil. Bake for 45 minutes.
Remove the dish from the oven and stir. Check the pasta to make sure it is al dente (firm but just about finished cooking). If it's still too hard, cover the dish and return to the oven until the pasta reaches al dente.
Once the pasta is al dente and the sauce has thickened, stir in the raw shrimp.
Sprinkle the cheese evenly over the top. Bake uncovered for 5-10 more minutes (8 minutes works best for medium shrimp). The dish is finished when the cheese is melted, the shrimp are pink, and the pasta is tender.
Garnish with freshly grated Parmesan or chopped fresh herbs, if desired. Serve immediately.