Beat the cream cheese in the bowl of a stand mixer until softened. Scrape down the sides of the bowl as needed. Add the granulated sugar; beat to combine. Add the confectioners' sugar, lemon juice, lemon zest, and sour cream. Beat to combine until very smooth. Scrap the sides of the bowl as needed.
Transfer the mixture to another mixing bowl.
In the stand mixer bowl, combine the heavy cream and vanilla extract. Using the whisk attachment, whisk on medium-high speed until stiff peaks form, about 4 minutes.
Add one-third of the whipped cream to the cream cheese mixture and gently fold it in (scooping the mixture from the bottom of the bowl and folding over the top to combine without letting the air out of the whipped cream). Continue with the remaining 2/3 until fully combined.
Remove the crust from the freezer.
Pour the filling into the pan and smooth it down with the back of a spoon until it’s even all around.
Cover with plastic wrap and refrigerate for at least 12 hours.
Garnish with whip cream, lemon zest and lemon slices, if desired.