In medium bowl, beat dry pudding mix and milk with whisk about 2 minutes or until thick. Spoon over cooled cookie base, and spread evenly. In large bowl, beat cream cheese with electric mixer on medium speed until smooth. Beat in marshmallow creme and whipped topping until well blended. Stir in 1 cup of the chopped cookies. Drop cream cheese mixture by spoonfuls over pudding layer; evenly spread. Cover and refrigerate 4 hours.