In a large bowl, whip the heavy cream until stiff peaks form. Once done, set the bowl aside to be used later in the recipe.
In a medium bowl, cream together the powdered sugar and cream cheese until smooth. Then, add the food coloring, vanilla extract, and peppermint extract to the cream cheese/powdered sugar mixture. Mix until the color is uniform and well combined. Finally, fold in ½ cup of peppermint candy bits.
Gently add the cream cheese mixture to the bowl of whipped heavy cream. Using a low speed on your mixer, blend the two mixtures together until they are thoroughly combined, ensuring a smooth consistency.
Pour the combined mixture into an Oreo crust, spreading it out evenly. This will serve as the base of your pie.
Top the pie with a layer of Cool Whip, then sprinkle crushed peppermint over the top for added texture and flavor. Chill the pie in the refrigerator for 1-2 hours, or until you are ready to serve it. Enjoy your delicious peppermint pie!