Set your oven to 325°F (160°C) and place the rack in the center. A gentle temperature is the secret to a creamy filling. It also helps the pie bake evenly without browning too fast.
Add the graham cracker crumbs, granulated sugar, and brown sugar to a medium bowl. Pour in the melted butter and toss with a fork. Keep going until every crumb looks damp and sandy.
Tip the crumbs into your 9-inch pie plate. Press them firmly across the bottom and up the sides. I use the flat bottom of a measuring cup to get a tight, even layer. You do not need to pre-bake this crust.
In a large bowl, beat the softened cream cheese with both sugars on low speed. Mix until the batter is smooth with no lumps. Low speed matters here, because too much air can make the pie puff and crack.
Stir in the sour cream and vanilla extract. Mix just until combined and creamy. The batter should look thick, glossy, and pale.
Add the lightly beaten eggs and mix on low speed. Stop as soon as the eggs disappear into the batter. Over-mixing now is the fastest way to get a cracked top later.
Scoop 1 ½ cups (345 g) of the plain batter into a separate bowl. Add the pumpkin puree and pumpkin pie spice. Stir until the mixture is smooth and evenly orange.
Spoon dollops of plain batter and pumpkin batter into the crust. Alternate them so the colors scatter across the pie. This is what gives you that gorgeous layered pumpkin cheesecake pie look.
Drag a butter knife gently through the dollops in loose figure eights. Keep the swirl light so the colors stay distinct. Too much stirring turns the marbling into a muddy tan.
Bake on the center rack for 40 to 50 minutes. The edges should look set, and the center should jiggle slightly when you nudge the plate. The middle firms up as it cools.
Let the pie rest at room temperature for about 1 hour. Then move it to the fridge for at least 6 hours, ideally overnight. Do not skip this step, because the chill is what gives you clean, creamy slices.