Preheat the oven to 325˚ F. Make the crust: Wrap the outside of a 9-inch springform pan with foil. Butter the inside of the pan and line the bottom with gingersnaps, breaking them as needed.
Make the filling: Beat the cream cheese, sugar, orange zest and salt in a large bowl with a mixer on medium-high speed until fluffy, 3 to 5 minutes. Beat in the eggs, one at a time, until just combined, then beat in the peach nectar. Pour the filling over the crust and bake until set but the center still jiggles slightly, 1 hour to 1 hour 15 minutes. Transfer to a rack and let cool completely, then refrigerate 8 hours or overnight.
Make the topping: Toss the peaches with the orange juice and sugar until the sugar dissolves. Spoon over the cheesecake.