Prepare the balsamic vinaigrette by combining all ingredients in a salad shaker or glass jar with a tight-fitting lid. Cover and shake vigorously until thoroughly combined. Set aside.

Prepare pasta according to package directions. (Add olive oil to the cooking water as instructed to prevent sticking). Rinse and drain well, and place in a large mixing bowl.

Add the fresh arugula, basil, Pepper Jack cheese, pepperoni, olives, and tomatoes. Season with salt and black pepper, to taste, and drizzle half the balsamic vinaigrette dressing on top. Gently fold the ingredients together with a spoon until thoroughly combined.

To serve, transfer the salad to a large serving bowl and top with shaved Parmesan cheese and a light drizzle of the remaining balsamic vinaigrette. Enjoy!