Preheat the oven to 375 degrees F.
Line a 9-inch square metal baking dish with parchment paper.
In a large bowl with a spoon, add the butter, the granulated sugar, and 1 of the eggs and stir until well-combined.
Add 2 cups of the flour, the baking powder, and the salt to the butter mixture and stir until no dry pockets remain.
Evenly sprinkle the dough on the bottom of the prepared baking dish, pressing down to make an even layer.
Bake until lightly browned across the surface, about 12-15 minutes.
Transfer from the oven to a wire rack and let it cool.
Reduce the oven temperature to 350 degrees F.
In a large bowl of a stand mixer, add the cream cheese and the confectioners' sugar and beat until well-combined, about 2 minutes.
With a rubber spatula, scrape down the sides of the bowl.
With the mixer on low speed, add the remaining eggs, the vanilla extract, and the remaining flour to the cream cheese mixture, beating until combined. Increase the mixer to medium-high speed, and beat until light and airy, about 3 minutes.
Evenly pour and spread the cream cheese mixture over the cooled crust.
With a spoon, stir the lemon curd to loosen and then dollop it over the top of the cream cheese mixture layer.
With the tip of a butter knife inserted into the lemon curd-cream cheese mixture, make swirls to lightly combine.
Bake until evenly browned, rotating the baking dish halfway through baking, about 50 minutes.
Transfer the bars from the oven to a wire rack and cool completely before serving.
Once cooled, with a sharp knife, cut the bars into serving-size pieces, plate with the raspberries and the strawberries, and serve.