Stir the first 8 ingredients in a pitcher with a wooden spoon.
Skewer 2 olives on a 3-to 4-inch party pick. Repeat with remaining olives and more picks.
To serve, fill 8 glasses with ice; pour in Bloody Johnnies mix. Garnish each glass with a celery rib, an olive skewer (ends balanced on the rim of the glass) and 2 pickled string beans.