Preheat the oven to 325°F (163°C) and position a rack in the center of the oven. Spray a 9x13 baking pan with cooking spray.
Sprinkle half of the cinnamon sugar mixture into the bottom of the pan.
Unfold one puff pastry sheet, roll to fil the 9x13 pan, and place on top of the cinnamon sugar in the bottom of a 9x13 baking pan. You may need to trim one long edge to fit into the pan.
In a stand mixer fitted with a paddle attachment (or you can do this in a large mixing bowl with a hand mixer) beat the cream cheese and sugar together one medium speed until smooth.
Add in the heavy cream and vanilla extract and beat on low speed until combined, scraping down the sides of the bowl as needed.
Add the eggs, one at a time, and beat until fully incorporated.
Pour batter on top of crescent roll dough. Unfold a second puff pastry, and roll to fit into the pan, and place on top of cheesecake bars. Sprinkle with remaining cinnamon sugar topping.
Bake in the preheated 325°F (163°C) oven, for 40 to 45 minutes, until the edges are set but the middle of the bars are still soft in the center. The bars will continue to firm up as they cool.
Remove the bars from the oven, and cool at room temperature for 30 minutes. Refrigerate for 4 hours or until firm. Cut into bars.