Whisk together chocolate instant pudding mix and 2 cups milk for 2 minutes. Cover pudding, and chill 5 minutes.
Stir together cream cheese, whipped topping, and coffee, blending well.
Place 1 cup crushed cookies evenly on bottom of an 8-cup bowl. Spread half of cream cheese mixture over crushed cookies. Spread all of pudding evenly over top; spread remaining cream cheese mixture evenly over pudding. Sprinkle with remaining cookies. Chill until ready to serve.
Note: For testing purposes only, we used Double Delight Oreo Coffee 'n Creme for sandwich cookies.