Preheat oven to 350°F (175°C) and line a springform pan.
Make the crust: Mix 1 1/2 cups almond flour, 1/4 cup melted butter, and 2 tbsp sweetener. Press into the pan and bake for 8-10 minutes. Let it cool.
Make the filling: Beat 16 oz softened cream cheese and 1/4 cup sweetener until smooth. Add 1/2 cup heavy cream, 2 eggs, and 1 tsp vanilla extract. Beat until well combined.
Melt 1/2 cup sugar-free white chocolate and mix it with 1/2 tsp peppermint extract into the cream cheese mixture.
Assemble the cheesecake: Pour filling over cooled crust and smooth with a spatula.
Bake for 50-60 minutes, until the edges are set, and the center is slightly jiggly.
Cool the cheesecake in the oven for 1 hour, then refrigerate for at least 4 hours or overnight.
Serve chilled with optional toppings like whipped cream, sugar-free peppermint candies, or chocolate shavings.