Preheat the oven to 350 degrees F (175 degrees C).
Mix chicken, cream cheese, buffalo wing sauce, ranch dressing, and sour cream together in a large bowl; transfer to a 9x13-inch baking dish. Sprinkle Colby-Monterey Jack cheese evenly on top.
Bake in the preheated oven until cheese is melted and lightly browned, 25 to 30 minutes. Serve with tortilla chips.