Whisk together oil, vinegar, oregano, mustard, salt and pepper. Set aside.
Slice bread horizontally and place cut side up on a cutting board. Drizzle 2 Tbsp. of oil dressing on bottom half and spread to cover bread.
Top the oil coated bread with provolone. Top with meats, folding each slice randomly to create height. Shingle tomato and onion slices over meats. Pile lettuce on top of onions. Drizzle remaining oil dressing over lettuce.
Spread the hoagie spread over the cut side of the sandwich top and place on top of the lettuce. Cut each sandwich into individual servings.