Preheat oven to 350 degrees F. Break cookie dough into pieces and place in bottom of 10" springform pan. Press evenly to form a crust. Bake for 15 to 19 minutes until light golden brown. Cool completely.
In large bowl, combine peanut butter and softened butter and beat until smooth. Alternately, beat in powdered sugar and milk until smooth. Then stir in chopped chocolate chips. Spoon and spread over peanut butter crust.
In small microwave-safe bowl, combine milk chocolate chips, 1/2 cup semisweet chocolate chips, and peanut butter. Microwave on medium power for 2 minutes, then remove and stir. Continue microwaving for 30 second intervals on high power until melted and smooth. Pour over peanut butter filling. Refrigerate until set. Store, covered, in refrigerator.