In a mixing bowl, combine the cream cheese and powdered sugar. Use an electric mixer or whisk until smooth and creamy.
Add the chopped strawberries, vanilla extract, and lemon juice to the cream cheese mixture. Gently fold to combine.
Lay one flour tortilla on a flat surface. Place about 3 tablespoons of the strawberry cheesecake filling in the center of the tortilla.
Fold the sides of the tortilla over the filling, then roll it from the bottom to the top, creating a tight chimichanga. Repeat this process for the remaining tortillas and filling.
In a frying pan or deep fryer, heat the vegetable oil over medium heat until hot (around 350°F or 175°C).
Carefully place the chimichangas in the hot oil, frying them in batches if necessary. Fry for about 3-4 minutes on each side or until golden brown.
Use tongs to remove the chimichangas and place them on paper towels to drain excess oil.
While still warm, sprinkle the chimichangas with ground cinnamon and powdered sugar if desired.
Serve warm with whipped cream and fresh strawberries for garnish.