Preheat the oven to 350ºF. Combine graham cracker crumbs, sugar, cinnamon, and melted butter in a medium bowl. Press mixture into the bottom and up the sides of a 9-inch springform pan and bake for 10 minutes. Remove from oven and allow to cool completely.
Make the Sauce:
In a medium saucepan, heat the berries over medium heat until they soften and their juices start to release, about 3-4 minutes. In a separate bowl, combine both sugars and cornstarch. Stir mixture into the berries and use a potato masher to smash the berries. Continue cooking until it begins to thicken, about 2-3 minutes. Remove from heat and pour through a fine mesh sieve to remove any seeds or solids.* Pour into a shallow bowl and place in the refrigerator to cool completely.
Make the Cheesecake:
In the chilled bowl of a stand mixer fitted with the whisk attachment, whip the heavy cream on high until stiff peaks form. Transfer whipped cream to a separate bowl and keep in the refrigerator.
Switch whisk attachment out for the paddle attachment. Beat the cream cheese on high until smooth and creamy. Add the sugar, lemon juice, extracts, and salt, and continue beating until completely incorporated. Add 1/2 cup of the cooled berry sauce, beating until combined. Fold in the whipped cream until just combined.
Pour filling into the crust, smoothing the surface with an offset spatula or a butterknife. Cover and refrigerate for at least 8 hours, preferably overnight.
Just before serving, decorate with whipped cream and fresh berries. Drizzle with berry sauce.