Creating your Carrot Cake Cheesecake is simple if you follow these carefully laid out steps:

1. Preheat the Oven: Preheat your oven to 350°F (175°C). Grease and line a 9-inch springform pan with parchment paper.
2. Prepare the Carrot Cake Batter: In a large bowl, whisk together the flour, sugar, baking soda, baking powder, cinnamon, nutmeg, and salt.
3. Add Wet Ingredients: Add the eggs and vegetable oil to the dry mixture. Stir until just combined.
4. Fold in Carrots & Pineapple: Gently fold in the grated carrots and crushed pineapple. Add nuts if desired.
5. Bake the Carrot Cake: Pour the batter into the prepared pan and bake for approximately 30-35 minutes, or until a toothpick comes out clean. Let it cool completely.
6. Prepare the Cheesecake Layer: In a separate bowl, beat the cream cheese and sugar together until smooth.
7. Add Eggs and Vanilla: Add the eggs one at a time, mixing after each. Then stir in the vanilla and sour cream.
8. Layer the Cheesecake: Once the carrot cake is completely cooled, pour the cheesecake filling over the cooled cake in the springform pan.
9. Bake Cheesecake: Bake the cheesecake for about 45-50 minutes, until the edges are set but the center is slightly jiggly.
10. Cool and Chill: Allow the cheesecake to cool slowly in the oven (turned off) for 1 hour. After that, refrigerate for at least 2 hours, or overnight if possible.
11. Make the Frosting: In a mixing bowl, beat the cream cheese and butter until creamy. Gradually add powdered sugar and vanilla. Beat until smooth, adding milk for desired consistency.
12. Frost the Cheesecake: Once chilled, remove the cheesecake from the springform pan and frost the top with cream cheese icing.
13. Decorate: Optionally, garnish with additional chopped walnuts and a sprinkle of cinnamon before serving.

These straightforward steps will guide you in creating a stunning Carrot Cake Cheesecake that is sure to impress!