Mix cookie crumbs and butter; press onto bottom of plastic wrap-lined 9-inch square pan.
Microwave 5 oz chocolate in microwaveable bowl on high 2 minutes or until melted, stirring after 1 minute. Beat cream cheese spread in large bowl with mixer until creamy. Gradually beat in milk. Blend in melted chocolate and strawberries. Whisk in cool whip; pour over crust
Freeze 6 hours or until firm. Remove dessert from freezer 15 minutes before serving. Shave remaining 1 ounce chocolate into curls; place on dessert. Use plastic wrap to remove dessert from pan before cutting to serve.