Using a blender or food processor, blend the strawberries until smooth.
Using a stand mixer or electric mixer, beat the heavy cream on medium speed until soft peaks form. If using stand mixed for the next step, scrape the cream into another small bowl.
Mix the softened cream cheese and sweetened condensed milk on medium until smooth. Add the strawberry puree and vanilla and mix until combined. Gently fold in the whipped cream until no streaks remain. Pour the cheesecake mixture into the cooled crust. Cover with plastic wrap or foil and freeze for about 8 hours until firm. Serve with additional sweetened whipped cream and fresh strawberries if desired.