In a large, wide bowl, combine the lettuce and radicchio, tomatoes, chickpeas, mozzarella, provolone, salami, and pepperoncini. Season with salt to taste and toss to thoroughly combine. Drizzle 6 tablespoons of the vinaigrette over the salad and toss gently to coat the salad evenly. Taste and add more vinaigrette as needed, plus salt and pepper. Transfer the salad to a large platter, sprinkle with extra oregano, and serve.