Make the cream cheese filling: Combine cream cheese, powdered sugar, and lemon juice. Whisk until smooth and freeze 12 teaspoon-sized balls.
Toss diced strawberries with cornstarch and set aside.
Whisk together flour, baking powder, baking soda, and salt. Set aside.
Cream butter and sugars together. Add eggs and vanilla, then stir in flour mixture.
Fold in diced strawberries. Chill dough for 30 minutes or refrigerate for 1 hour.
Form dough balls with 2 tablespoons of dough each. Make an indentation in the center. Place frozen cream cheese ball in the center and cover with dough.
Bake at 350°F (175°C) for 14-16 minutes. Let cool completely before serving.