In a small pot over medium heat, warm cream and espresso powder until the espresso is dissolved. Let it cool.
In a large bowl, beat cream cheese and granulated sugar until smooth. Add eggs one at a time, beating well after each addition. Mix in the cooled cream mixture, Kahlúa, and salt until combined. Pour the filling into the crust.
Wrap the bottom of the pan in foil and place it in a large roasting pan. Pour enough boiling water into the roasting pan to come halfway up the sides of the springform pan.
Bake the cheesecake until the center only slightly jiggles, about 1 hour 30 minutes. Turn off the oven, prop open the door, and let the cheesecake cool in the oven for about 1 hour.
Remove the foil and refrigerate the cheesecake until chilled, at least 5 hours or overnight.