Cook the pasta according to package directions until al dente. Drain, rinse under cold water until completely cool, and set aside.
In a small bowl, whisk together the mayonnaise, Italian dressing, banana pepper juice, red wine vinegar, Italian seasoning, and CTH seasoning until smooth and well combined.
In a large bowl, combine the cooled pasta, salami, pepperoni, mozzarella, olive salad, cherry tomatoes, banana peppers, red onion, and Parmesan.
Pour the dressing over the salad and toss until everything is evenly coated.
Cover and refrigerate for at least 30 minutes before serving.
Toss again before serving, add extra dressing if needed, and top with diced chives.