Place graham crackers in a food processor; process until fine crumbs. Stream in melted butter until combined. Press onto the bottom of a greased 9x13-in. baking dish. Chill in refrigerator until set.
In a large bowl, combine pineapple, strawberry pie filling, and chopped strawberries. Fold in miniature marshmallows and whipped topping. Spread over crust. Refrigerate until set, about 1 hour. If desired, top with additional whipped topping and halved fresh strawberries.