Add the lettuce, ham, salami, pepperoni, provolone, tomato, red onion, and banana peppers to a large cutting board.
Use a sharp knife to chop everything into small bite-sized pieces, mixing and tossing as you go.
To the chopped salad, add the mayonnaise and red wine vinegar, then sprinkle the Italian seasoning over the top.
Use the knife to mix and toss everything until the dressing is combined with the salad.
Divide salad evenly among the hoagie rolls and serve immediately.
