For crust: combine crumbs, sugar, and butter in a small bowl. Press into a pie plate and bake at 350° for 7-8 minutes. Cool completely and crumble. Chill or freeze.
Beat cream cheese in a large bowl until smooth. Gradually beat in sweetened condensed milk. Whisk in cream and lemon juice.
Chill for several hours or till very cold.
Add strawberries and freeze in an ice cream maker according to manufacturer's instructions.
In a freezer safe container, layer the ice cream and the crumble bits.
Place in the freezer for 2-3 hours to set up and blend flavors.