In a mixing bowl, combine the thinly sliced steak, Italian dressing, Worcestershire sauce, minced garlic, salt, pepper, and red pepper flakes. Toss until well coated and let marinate for 15-20 minutes.
Preheat your oven to 475°F (245°C), placing the pizza stone in the oven to heat up if using.
In a skillet over medium-high heat, cook the marinated steak for about 3-4 minutes until browned. Remove and set aside. In the same skillet, sauté mushrooms, onions, and green peppers for about 5 minutes.
Roll out the pizza crust on a floured surface to your desired thickness, or follow package instructions if using store-bought.
Spread the Alfredo sauce over the pizza crust, then layer cooked steak, sautéed vegetables, and shredded mozzarella cheese on top.
Transfer to the preheated pizza stone or baking sheet and bake for 12-15 minutes until cheese is melted and crust is golden brown.
Remove from the oven, let cool for a few minutes, slice into wedges, and serve hot.