Preheat your oven to 350°F (175°C). Grease and flour a 9-inch springform pan.
For the sugar cookie crust: In a large bowl, cream together softened butter and granulated sugar until light and fluffy. Beat in the egg and vanilla extract.
In a separate bowl, whisk together flour, baking soda, and salt. Gradually add the dry ingredients to the wet ingredients, mixing until just combined. Do not overmix.
Press about two-thirds of the sugar cookie dough evenly into the bottom of the prepared springform pan to form the crust. Reserve the remaining dough.
Bake the crust for 10-12 minutes, or until lightly golden. Remove from oven and let cool slightly.
For the cheesecake filling: In a large bowl, beat the softened cream cheese until smooth. Gradually beat in the granulated sugar until well combined.
Beat in the eggs one at a time, mixing well after each addition. Stir in the vanilla extract and sour cream until just combined. Be careful not to overmix.
Pour the cheesecake filling over the partially baked sugar cookie crust.
Crumble the reserved sugar cookie dough over the top of the cheesecake filling.
Bake for 45-55 minutes, or until the edges are set and the center is slightly jiggly. Turn off the oven, prop the door open slightly, and let the cheesecake cool in the oven for 1 hour.
Remove from oven and let cool completely on a wire rack. Then, cover and refrigerate for at least 4 hours, or preferably overnight, before serving.
Notes
Serve chilled. This cheesecake is best enjoyed within 3-4 days.