Step 1: Prepare the Crust - Preheat your oven to 350°F (175°C). In a mixing bowl, combine the crushed sugar-free cookies, 1/2 cup of granulated sweetener, and melted butter. Mix until the crumbs are evenly coated. Press this mixture firmly into the bottom of a springform pan. Bake for about 10 minutes, then let it cool.
Step 2: Make the Filling - In a large mixing bowl, beat together the non-fat cream cheese and Greek yogurt until smooth. Add in the 2/3 cup of granulated sweetener, eggs, all-purpose flour, salt, and vanilla extract. Mix until everything is well incorporated.
Step 3: Combine & Bake - Pour the cheesecake filling over the cooled crust. Bake in the preheated oven for 45-50 minutes, until the edges are set but the center slightly jiggles.
Step 4: Cool & Chill - Turn off the oven and leave the cheesecake inside for an additional hour. Once cooled, refrigerate for at least 4 hours, preferably overnight.