Cook the Strawberries In a small saucepan, cook the chopped strawberries with sugar over medium heat for 5–7 minutes, until jammy. Let it cool completely.
Whip the Cream In a large bowl, whip cold heavy cream until stiff peaks form.
Blend Cream Cheese Base In a separate bowl, beat the softened cream cheese until smooth. Add sweetened condensed milk and vanilla, and mix until well combined.
Combine Gently fold the whipped cream into the cream cheese mixture until smooth and fluffy.
Layer It In a freezer-safe container, layer the ice cream mixture with swirls of the strawberry compote and crushed graham crackers.
Freeze Cover and freeze for at least 6 hours or overnight. Scoop and serve with extra strawberry sauce on top!