In a large pitcher, combine tomato juice, Worcestershire sauce, Tabasco, pickle juice, horseradish, and celery salt. Whisk until smooth.
Prepare glasses with ice and add 3 parts Bloody Mary mix to 1 part vodka (e.g., 6 ounces mix with 2 ounces vodka), adjusting to taste.
To make the “eyeball” garnish, thinly slice olives with pimentos intact.
Use a melon baller or small spoon to carve a small hole in each mozzarella pearl.
Press an olive slice into each mozzarella hole, adjusting if needed.
Skewer 2-3 mozzarella “eyeballs” onto a cocktail pick and place in each drink along with a celery stick.