Preheat the oven to 350°F and lightly grease a 9-inch springform pan.
In a bowl, beat the softened butter, powdered sugar, and 1/4 teaspoon salt until pale and creamy.
Add the flour and 1 cup chopped pistachios and mix just until no dry streaks of flour remain.
Press the dough evenly into the bottom of the prepared springform pan and pat it firmly into the corners.
Bake the crust for 10 to 12 minutes until lightly golden around the edges, then set the pan aside to cool slightly.
Reduce the oven temperature to 325°F.
While the crust cools, prepare the baklava topping by layering sheets of filo dough on a cutting board, brushing each sheet lightly with some of the melted butter and sprinkling with the 1 cup finely chopped pistachios and 3 tablespoons white sugar between layers.
Cut the layered filo stack into roughly 1 to 2 inch pieces and set aside.
In a large mixing bowl, beat the cream cheese on medium speed until completely smooth.
Add 1/3 cup honey, eggs, egg yolk, sour cream, and 1/4 teaspoon salt and mix on low speed until the batter looks smooth and uniform.
Pour the cheesecake filling over the baked pistachio crust and smooth the top with a spatula.
Scatter the cut filo pistachio pieces evenly over the surface of the filling and gently press them just into the batter so they adhere.
Place the pan on a baking sheet and bake at 325°F for 40 to 45 minutes, until the edges are set, the center still has a slight wobble, and the filo topping is lightly golden.
While the cheesecake bakes, make the honey syrup by combining 1/4 cup water, 1/4 cup honey, and 1 teaspoon lemon juice in a small saucepan, then bring to a simmer over medium heat and cook for 3 to 4 minutes until slightly thickened.
Remove the cheesecake from the oven and immediately spoon the warm honey syrup slowly and evenly over the hot baklava topping.
Cool the cheesecake completely at room temperature on a wire rack.
Once cooled, cover the pan and refrigerate for at least 4 hours, or until fully chilled and set.
To serve, run a thin knife around the edge of the pan, release the springform ring, slice, and serve chilled.