Gently fold cream cheese mixture into remaining whipped cream. Fold in 1 cup of the chopped candy bars. Spread cream cheese mixture evenly onto crust. Spoon reserved 2 cups whipped cream onto cream cheese mixture; spread evenly. Sprinkle with remaining 1 cup chopped candy bars. Refrigerate 1 hour. Just before serving, drizzle with remaining 2 tablespoons caramel topping and the chocolate syrup.