BRUSH cut side of ladyfingers with about 1/4 cup of the coffee. Place ladyfingers on bottom and up side of 2-quart serving bowl.
BEAT cream cheese and remaining 3/4 cup coffee in large bowl with wire whisk until smooth. Gradually beat in milk until smooth. Add pudding mixes. Beat with wire whisk until blended. Gently stir in 1/2 of the whipped topping. Spoon into prepared bowl; cover.
REFRIGERATE 1 hour or until ready to serve. Top with remaining whipped topping.