Preheat the oven to 325°F. Grease a 9-inch springform pan.
In a medium bowl, mix together the cookie crumbs and melted butter until well combined. Press the mixture firmly into the bottom of the prepared pan.
In a large bowl, beat the cream cheese, sugar, and vanilla extract with an electric mixer on medium speed until creamy and smooth, about 2-3 minutes. Add the bourbon and caramel sauce and beat until well combined.
On low speed, add the eggs one at a time, mixing just until each egg is well incorporated.
Pour the cheesecake mixture over the prepared crust. Bake for 45-50 minutes or until the edges are set and the center still jiggles slightly when shaken.
Remove from the oven and let cool on a wire rack for 10 minutes. Run a knife around the edge of the cheesecake to loosen it from the pan. Allow the cheesecake to cool completely, then chill in the refrigerator for at least 4 hours or overnight.
When ready to serve, prepare the peanut butter cup topping. In a microwave-safe bowl, melt the chocolate chips and peanut butter in 30-second intervals, stirring in between, until completely melted and smooth.
Spread the chocolate peanut butter mixture over the chilled cheesecake and sprinkle with chopped peanuts. Chill for an additional 10-15 minutes to let the topping set.