In a large mixing bowl, combine cream cheese, wine, broth, pepper, and red pepper flakes and mix until smooth. Fold in ham, cheese, and chicken. Spread the mixture into the prepared dish.
16 oz. cream cheese, ¼ cup dry white wine, ¼ cup low-sodium chicken broth, ½ tsp ground black pepper, ⅛ tsp red pepper flakes, 6 oz. ham, 6 oz. Swiss or Gruyere cheese, 3 cups chicken meat from a rotisserie chicken