Preheat oven to 325°F (163°C). Mix cookie crumbs and melted butter, press into a 9-inch springform pan, and bake for 10 minutes. Let cool.
Beat room temperature cream cheese until smooth. Add sugar and cocoa powder, mixing well.
Mix in sour cream, buttermilk, vanilla extract, white vinegar, and red food coloring.
Add eggs one at a time on low speed, mixing just until combined to avoid aerating the batter.
Wrap the outside of the springform pan tightly in foil. Pour batter over the crust and place the pan in a roasting pan filled halfway with boiling water.
Bake for 1 hour and 15 minutes. The center should still have a slight jiggle.
Turn oven off, crack the door, and let cool inside for 1 hour. Remove, cool completely at room temperature, then chill for at least 6 hours before serving.