Preheat the oven to 425 degrees . In a small bowl, combine the butter, garlic, salt, black pepper and cayenne.
Using a sharp knife, cut a few slits in the pork. Rub the garlic butter over the pork, making sure butter gets into the slits. Place on a roasting rack set in a roasting pan or on a foil-lined baking sheet; roast until an instant-read thermometer inserted into the center registers 150 degrees , 25 to 30 minutes. Remove from the oven and let rest.
Meanwhile, using a blender, puree the roasted peppers, olive oil and paprika; season with salt.
Thinly slice the pork. Layer the bottom half of each roll with the potato chips, pork slices and about 1 tablespoon of the red pepper puree. Top with the remaining roll halves.