Beat cream cheese in large bowl with mixer until creamy. Gradually beat in milk. Add dry pudding mix; beat 2 min. Stir in 1-1/2 cups COOL WHIP. Let stand 5 min. Meanwhile, line 8-inch round pan with plastic wrap. Remove 1 Tbsp. graham pieces; set aside.
Spread half of the remaining graham pieces onto bottom of prepared pan; cover with layers of pudding mixture and remaining graham pieces. Refrigerate 4 hours.
Microwave chocolate and 1 cup of the remaining COOL WHIP in microwaveable bowl on HIGH 1 min.; stir until chocolate is melted and mixture is well blended. Invert dessert onto plate; remove pan and plastic wrap. Top dessert with chocolate glaze. Refrigerate 15 min. Garnish with remaining COOL WHIP and reserved graham pieces just before serving.