In a large mixing bowl whisk together the salad dressing ingredients.
Finely shred the iceberg lettuce, dry thoroughly using a salad spinner and toss with just enough dressing to lightly coat.
Slice each hoagie roll in half horizontally. Toast lightly if preferred for extra texture.
Spread mayonnaise on each side of the rolls, about 2 tablespoons per roll.
Place about 2 ounces of cheese on the bottom half of each roll. Layer with 4–5 ounces of assorted Italian cured meats per sandwich.
Top with dressed iceberg lettuce, sliced onion, pepperoncini and tomatoes. Sprinkle tomatoes with salt and pepper.
Close sandwiches and wrap tightly in 2 sheets of parchment paper. Let rest in the refrigerator for 30 minutes to let flavors meld. See Note #4 below.