Add cream cheese and powdered sugar to a medium bowl or the bowl of a stand mixer. Using a hand mixer, cream together until fully combined.
Remove cream cheese mixture from bowl onto a piece of plastic wrap. Shape into a 12 inch long log and cover in plastic wrap and place in freezer to chill.
In the same bowl, cream together sugar and oil. Add eggs to the bowl and mix until combined.
Add starter to the bowl and combine. Then add pumpkin puree and combine.
In a small bowl, combine your spices. Add the spices to your flour and mix to combine. Then add your flour mixture to your batter and mix until fully incorporated.
Cover batter with plastic wrap and allow to ferment on the counter for 6 hours or overnight.
Remove cream cheese log out of freezer to relax.
Preheat oven to 350 degrees Fahrenheit. Grease a muffin pan.
In a small bowl, combine the sugar crumble ingredients, being careful to not melt the butter with your hands.
Add your batter to the muffin pan (24 total), filling each until about 2/3 full.
Slice your cream cheese log into 24 slices. Push the cream cheese filling down into the center of the batter of each muffin. Sprinkle about a tablespoon of the streusel topping on top of each muffin.
Bake for 18-20 minutes. Enjoy!