Prep the pan and oven: Heat the oven to 325°F (163°C). Line the bottom of a 9-inch springform pan with parchment and lightly mist the sides with cooking spray.
Make the crust: In a bowl, mix crushed ginger snaps, brown sugar, melted light butter, and a pinch of salt.
Press the mixture firmly into the pan, going slightly up the sides. Bake for 8–10 minutes, then cool slightly.
Beat the cream cheese: In a large bowl, beat reduced-fat cream cheese until smooth and fluffy, about 2 minutes. Scrape down the bowl to avoid lumps.
Add sweeteners and spices: Beat in brown sugar, zero-calorie sweetener, ginger, cinnamon, nutmeg, cloves, salt, and cornstarch until combined.
Blend in wet ingredients: Add Greek yogurt, molasses, and vanilla.
Mix until smooth, avoiding overbeating.
Add eggs gently: Beat in eggs one at a time on low speed, just until incorporated. Overmixing can add air and cause cracks.
Fill and smooth: Pour the filling onto the crust and smooth the top with a spatula. Tap the pan gently on the counter to release air bubbles.
Bake low and slow: Bake at 325°F for 35–45 minutes.
The edges should be set and the center should still have a slight wobble. Do not overbake.
Cool gradually: Turn off the oven, crack the door, and let the cheesecake sit for 30–45 minutes. This gentle cool helps prevent cracking.
Chill to set: Remove from the oven, run a thin knife around the edge, and cool to room temperature.
Cover and refrigerate for at least 4 hours, preferably overnight.
Serve: Release the springform and slice with a warm, clean knife. Add a light whipped topping or a spoonful of Greek yogurt and a dusting of cinnamon if you like.