Add coleslaw mix to a medium bowl. In a small bowl, mix together ¼ cup of mayo, apple cider vinegar, 1 tablespoon of honey, Dijon mustard, salt, and black pepper. Pour the dressing over the coleslaw mix and toss to combine. Set aside.
In a small bowl, whisk together 2 tablespoons mayo, 1 teaspoon honey, and Nashville hot sauce.
Spread Nashville hot mayo sauce on bottom buns. Top with coleslaw.
Add chicken filets and drizzle with additional Nashville hot sauce. Add roasted red pepper strips and sliced banana peppers followed by the top buns. Serve.