Begin by preparing the dressing. Whisk together all the dressing ingredients in a small bowl until well combined. Taste and adjust seasonings to your liking.
In a large bowl, combine the chopped iceberg lettuce, romaine lettuce, Persian cucumbers, salami, garbanzo beans, olives, diced tomatoes, and grated parmesan cheese.
Toss the salad ingredients together until well combined.
Pour the dressing over the salad and toss once more until everything is evenly coated.
Taste the salad and add more cheese if desired. Serve immediately and enjoy!