With a hand mixer, blend all ingredients together until smooth. Add additional peppermint extract as desired.
Pour mixture into an 8×8 pan lined with wax or parchment paper (make sure paper is overflowing on the sides, for easy removal).
For red swirls, put 3-5 drops of red food coloring on the top of the cheesecake and swirl using a knife.
To decorate, swirl drops of red food coloring with a knife. You may also sprinkle bits of candy cane over the top of the cheesecake.
Chill in the fridge for at 1-2 hours. Use the hanging paper to remove cheesecake from the pan.
Cut into bars and serve.