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 min. or until melted, stirring after 1 min. 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 min. before serving. Shave remaining 1 oz. chocolate into curls; place on dessert. Use plastic wrap to remove dessert from pan before cutting to serve.