Place cannoli shells in food processor and pulse into a fine crumb. Add butter and sugar and pulse until mixture resembles wet sand. Transfer mixture to a 9-inch springform pan and press into even layer on bottom and up sides of pan. Refrigerate until firm, about 1 hour.
Beat cream cheese, ricotta, powdered sugar, orange zest, cinnamon, vanilla and rum extract together using an electric handheld mixer, until combined. Add ½ cup chocolate chips and beat until just combined.
Spread filling evenly into prepared crust. Cover cheesecake with plastic wrap and refrigerate until firm, about 4 hours.
Sprinkle remaining chocolate chips and pistachios evenly around the outer edge of the cheesecake. Slice and serve.
