Beat cream cheese and sugar until smooth. Fold in half of the Cool Whip. Spread on top of the crust. Mix 7 ounces (two packages) of instant chocolate pudding mix with 1.5 cups milk. Spread on top of cream cheese mixture. Mix 7 ounces (two packages) of instant vanilla pudding mix with 1.5 cups milk. Fold 0.75 basket of sliced fresh strawberries into vanilla pudding. Spread on top of chocolate mixture. Cover the top with the remaining Cool Whip. Shave a chocolate candy bar with a potato peeler and add shavings to the top of the finished cake. Refrigerate for two hours before serving. The dessert is outrageously rich, so plan to serve small portions. Do not use frozen strawberries or sugar-free pudding mixes. Sliced bananas may be substituted for the berries. From J.R.'s California Cafe, San Diego, CA