Preheat oven to 350°F.
In a large mixing bowl, beat cream cheese, goat cheese and brown sugar with an electric mixer or beater until creamy.
Add eggs, one at a time, beating on the slow speed on the mixer until incorporated. Don’t overbeat, but beat just until creamy and lumps have disappeared. Stir in pumpkin puree, yogurt, vanilla and spices.
Pour filling into prepared pie shell and spread out evenly. Place the springform pan on a large baking sheet to prevent spills from going onto your oven!
Bake for approximately 50 minutes, or until the center is barely jiggly. Note - this time may vary slightly from oven to oven.
Remove cheesecake from the oven and cool to room temperature. Run a knife around the edges of the pan so that you can easily remove the ring from the bottom of the pan. Once cooled, refrigerate for several hours or overnight. Serve cold with a spoonful of the yogurt-whipped cream and a drizzle of caramel sauce.