Preheat oven to 300F.
Cover the bottom of an 8x8" dish or pie plate with cream cheese.
In a large mixing bowl, combine the shredded chicken, wing sauce and butter, and pour over the cream cheese-filled dish or pie plate.
Top with just enough blue cheese dressing and mozzarella cheese to cover (adding too much cheese will cause a thick skin to form that will make eating the dip difficult once the cheese cools).
Heat the dip in the oven for 20 minutes. Serve with Scoops (Tortillas or Fritos) alongside for dipping.