Fold in 2 cups whipped topping until smooth. Pour half of the cream cheese mixture over graham crackers.
Arrange a single layer of strawberry slices over cream cheese mixture. Top strawberries with another layer of graham crackers then cover with remaining cream cheese mixture.
Top cream cheese mixture with another layer of strawberries.
Cover and refrigerate for 6-8 hours. When serving, top with remaining whipped topping.
Crush remaining graham crackers and sprinkle crumbs over the top