Prepare the Creamy Ice Cream Base: In a food processor fitted with a blade attachment, combine the softened cream cheese, whole milk, heavy cream, granulated sugar, salt, and bourbon (if using). Blend on high speed until the mixture becomes smooth and silky. It’s normal to see tiny flecks of cream cheese if it wasn’t completely softened, which won’t affect the texture.
Churn the Ice Cream Mixture: Transfer the smooth base into your ice cream maker. Follow your machine’s instructions to churn, usually between 30 and 45 minutes, until the mixture thickens to a creamy soft-serve consistency.
Fold in Cake Crumbles: Once the ice cream reaches the perfect texture, gently fold in the crumbled red velvet cake pieces. Use a large spoon or spatula to evenly distribute the cake bits throughout the ice cream without breaking them down too much.
Freeze Until Firm: Move the mixture to a large, freezer-safe container. Press a piece of plastic wrap directly onto the surface to prevent ice crystals from forming, then seal with a lid. Freeze for at least 4 hours, or until the ice cream firms up to a scoopable consistency.
Serve and Enjoy: Scoop the ice cream into sugar cones or bowls and enjoy immediately for the best creamy and cakey texture.