To make the pumpkin filling, beat eggs with sugar. Add spices, pureed pumpkin, and evaporated milk. Whisk to combine.
To make the cheesecake filling, beat cream cheese until softened. Add sugar and incorporate beaten egg. Add vanilla. Whisk until smooth.
To assemble pie: pour pumpkin filling into cookie crust. Pour cheesecake filling into a zip top bag and snip off end. To make spider web design, lightly pipe concentric circles of cheesecake into the pumpkin filling. Using a clean knife, drag the blade of a knife from the outside of the pie towards the center, wiping the knife between drags.