For strawberry glaze, combine the mashed strawberries, sugar, cornstarch, and cold water in a large saucepan. Cook and stir over medium heat until bubbly and thick. (We like it thick like jam, but you can opt for a softer set glaze.)
Stir in the lemon zest and place the pan in a bowl or sink of ice water. (You can chill it in the fridge, but it takes longer.)
For the cheesecake filling, beat the cream until stiff peaks form. Set aside.
In a large bowl, beat the cream cheese with an electric hand mixer until creamy. Add the powdered sugar, lemon juice, and vanilla. Beat until smooth. Fold in the whipped cream.
Spread the filling into the crust.
Wash and slice the remaining strawberries and stir into the cooled glaze. Pour over the top of the filling.
Cover the pie with plastic wrap and chill for at least 4 hours or until firm enough to slice. It can be made a day ahead and refrigerated overnight.
If desired, garnish individual slices with whipped cream and sliced strawberries.
Notes
I like to use a homemade pie crust, but you can use a large 10" store-bought graham cracker crust.