Preheat the oven to 350°F (175°C). Line the bottom of a 9-inch springform pan with parchment paper and lightly spray the sides with nonstick cooking spray. Set aside.
In a food processor, pulse gingersnap cookies into fine crumbs. You should end up with about 1 ½ cups of crumbs. Transfer to a medium mixing bowl.
Add light brown sugar and melted butter to the crumbs. Mix until the crumbs are fully moistened and resemble wet sand.
Press the crust mixture firmly into the bottom of the prepared springform pan. Wrap the outside of the pan with two layers of heavy-duty aluminum foil to prevent water from leaking in during the water bath. Set aside.
In the bowl of a stand mixer fitted with the paddle attachment, beat the cream cheese on low speed until smooth and creamy. Do not overmix.
Add granulated sugar and continue to mix on low until smooth, scraping down the bowl as needed.
Add sour cream, molasses, and vanilla extract. Mix until fully incorporated and smooth.
Sprinkle in ground ginger, cinnamon, cloves, nutmeg, and salt. Mix just until combined.
Add eggs, one at a time, mixing on low speed after each addition until fully incorporated. Scrape the bowl well between each egg to avoid lumps.
Pour the filling into the prepared crust. Gently tap the pan on the counter to release any large air bubbles.
Place the springform pan into a large roasting pan. Carefully pour hot water into the roasting pan so it reaches about halfway up the sides of the springform pan.
Bake until the top of the cheesecake turns golden, about 85-95 minutes. Remove from oven and let it cool in the springform pan on a wire rack.
When cool, refrigerate the cheesecake for at least 4 hours, up to overnight.
Top the chilled cheesecake with whipped cream, crushed gingersnap cookies, and a dusting of cinnamon.