- Bring a large stock pot filled with water to a boil. Place shucked ears of corn into the water and boil for 7 minutes. Remove corn from water with tongs and set aside. 
- Put the water-filled pot that you boiled the corn in over high heat, and bring it back to a boil. 
- Add thawed, cleaned and sliced calamari to boiling water and cook for 3 to 4 minutes to desired doneness, then strain into an ice bath. Cool completely and drain thoroughly. 
- Place cooked squid in a bowl. 
- Mix dressing ingredients and pour over squid. Let marinade in the refrigerator for at least an hour. 
- Put arugula and prepared vegetables on platter. Shave the corn kernels off of the cobb and sprinkle the chunks of kernels over the rest of the vegetables. 
- With a slotted spoon, remove the squid from the dressing, and place it over the top of the vegetables. 
- Pour the remaining dressing into a bottle so people can add to their salad if they wish. 
- Refrigerate leftover dressing for up to one week.