In a large mixing bowl, beat cream cheese until smooth. Beat in whipped topping on low speed until smooth; set aside. In another large mixing bowl, combine milk and pudding mixes. Beat on low speed for 2 minutes. Let stand for 5 minutes. Stir in cream cheese mixture until smooth. Set aside 1 cup of strawberries. Fold remaining strawberries into pudding mixture. Transfer to a serving bowl or individual dessert dishes. Cover and refrigerate for at least 2 hours. Arrange remaining strawberries on top.