Place cream cheese, sugar, sour cream, lemon juice, zest, and vanilla in a medium mixing bowl. Beat together with an electric mixer, until smooth.
Scrape down sides of the bowl and set aside.
In another mixing bowl with the electric mixer, beat the cream until stiff peaks form.
Fold the whipped cream into the cream cheese mixture until fully incorporated.
Slice the backs of each strawberry, every so slightly, so they sit up straight. Using a small measuring spoon or melon baller, carefully hollow the inner center of each strawberry.
Fill a piping bag (fitted with a star tip) with the cream cheese mixture and pipe into each cut strawberry.
Finish each with a sprinkle of graham cracker crumbs and serve.