Chill a large mixing bowl and beaters for 10 minutes to help the cream whip faster.
Beat cream cheese, powdered sugar, vanilla, lemon juice, and salt until smooth and fluffy.
Pour in the cold heavy cream. Whip on medium-high until medium-stiff peaks form.
Spread a thin swipe of cream in a 9x13-inch dish to anchor the first layer.
Arrange a snug layer of graham crackers over the bottom of the dish.
Top with about one-third of the cream, then scatter a generous layer of sliced strawberries.
Repeat layers—crackers, cream, strawberries—two more times, finishing with cream on top.
Decorate with remaining berries. Cover and chill at least 4 hours, preferably overnight, until the crackers soften.
Slice into squares and serve cold.