Coarsely chop cookies in food processor. In a medium bowl combine milk and pudding mix; beat with a mixer until smooth and mixture begins to thicken. Fold in half of the cool whip and all of the cookies; set aside.
Working quickly, arrange 6 of the ice cream sandwiches side by sides on a platter (2 rows of 3). Spread pudding mixture evenly over sandwiches.
Top with remaining ice cream sandwiches and smooth sides. Spread remaining cool whip over top and sides. Top with candy sprinkles.