In a medium saucepan over medium heat, combine strawberries, sugar, and lemon juice. Bring to a simmer and cook, stirring occasionally for 5 to 7 minutes, or until strawberries have softened and the mixture is thick. Remove from stove and cool completely, chilling in the fridge if needed to cool faster.

Add cream cheese to the bowl of a stand mixer fitter with the paddle attachment. Cream the cheese lightly, until it is creamy and smooth. Add in milk, cream, sugar and salt and continue to blend until smooth.

Add the cream cheese ice cream mixture to your ice cream maker and churn according to the manufacturer’s instructions.

Spoon in the strawberry compote, add in the graham crackers, and churn for 1 additional minute.

Pour the mixture into an airtight container and freeze overnight before serving.