Preheat the oven to 325 degrees F.
Add the pistachios to a food processor and blend until small crumbs (as powdery as you can get it before becoming butter) remain. Place the pistachios in a bowl and stir in the coconut, brown sugar and melted butter. Combine until the entire mixture is moistened (if it’s super dry, add another 1 to 2 tablespoons of melted butter, then press it into the bottom of a 9-inch springform pan. Bake for 15 minutes, then remove it from the oven and let cool.
Beat the cream cheese and sugar in the bowl of your electric mixture until fully combined. Beat in the pumpkin puree until combined. Add in the eggs, vanilla extract, spices and salt, beating until just combined and making sure to scrape down the bottom and sides of the bowl when needed. Pour the batter into the crust.
[I used a water bath to bake this cheesecake (I rarely do because it’s so high maintenance!) and it worked wonderfully – not one single crack in the cake! I placed the springform pan on a large baking sheet with a lip and poured in enough water to just come up to 1/4 of the pan.]
Bake the cheesecake for 1 hour and 45 minutes, then turn off the oven. Open the door to let some heat out of the oven, then close it and allow the cheesecake to sit inside for another hour. After one hour, remove the cake and let it cool completely. Refrigerate overnight (or at least 6 to 8 hours) before serving.