Preheat the oven to 350°F and position the rack in the center.
In a large mixing bowl, whip the cream cheese until it reaches a smooth consistency. Incorporate the Buffalo wing sauce, blue cheese dressing, diced chicken, 1 cup of the shredded cheese, and blue cheese crumbles if using. Stir until evenly combined.
Transfer the mixture into a shallow 1-quart baking dish. Evenly scatter the remaining shredded cheese across the top.
Bake for 20 to 25 minutes, or until the cheese on top is melted and bubbling.
Serve the dip warm, accompanied by your preferred dippers such as celery sticks, crackers, tortilla chips, or sliced baguette.