To make the filling, smash the cookies in a ziplock freezer bag until they're crumbs. Combine with the butter and coffee in a bowl. Press into a pie plate and place it into the freezer while you mix the filling.
In a large bowl, combine the filling ingredients and stir them well to incorporate. Work quickly so the softened ice cream doesn't get too soft.
Pour the filling into the prepared crust and freeze for at least an hour and a half before serving.