01 - In a large mixing bowl, whisk together mayonnaise, red wine vinegar, olive oil, oregano, garlic powder, salt, and pepper until smooth and creamy.
02 - Add shredded lettuce, red onion, pepperoncini, cherry tomatoes, black olives, banana peppers, and Parmesan cheese to the bowl. Toss thoroughly until all ingredients are evenly coated with the dressing. Set aside.
03 - Spread softened butter on the inside of each roll if desired. Toast under a broiler or in a hot skillet until golden brown and crispy, about 2-3 minutes.
04 - On each roll, layer 2 slices provolone, 2 slices salami, 2 slices ham, 2 slices mortadella, and 2 slices capicola.
05 - Mound the dressed salad generously on top of the meat and cheese layers. Close sandwiches, press down gently to compact, slice in half diagonally, and serve immediately.