Preheat the Oven: Preheat your oven to 350°F (175°C). Line a baking dish or tray with parchment paper for easy cleanup.
Prepare the Hawaiian Rolls: Without separating the rolls, slice the 12-pack Hawaiian sweet rolls horizontally in half, creating a top and bottom layer. Arrange the bottom halves of the rolls in the prepared baking pan. Brush the rolls with 1 tablespoon of melted butter to enhance flavor and keep them moist.
Make the Cheesecake Filling: In a mixing bowl, combine the softened cream cheese, beaten egg, and granulated sugar. Mix until smooth and creamy. Evenly spread the cream cheese filling over the bottom layer of rolls.
Prepare the Butter Cinnamon Topping: In a separate bowl, mix the melted butter, brown sugar, cinnamon, and freshly grated nutmeg (if using).
Assemble the Danish: Place the top layer of rolls over the cream cheese filling. Pour or brush the butter cinnamon mixture evenly over the top layer of the rolls, ensuring each roll is coated for maximum flavor.
Bake: Bake the rolls in the preheated oven for 20-25 minutes, or until the rolls are golden and the filling is set. The tops should be lightly browned, and the aroma should be enticing.
Serve: Allow the rolls to cool for a few minutes before slicing into individual danishes. Serve warm, and enjoy this comforting treat!