In a mixing bowl, combine mayonnaise, hot sauce, Dijon mustard, Worcestershire sauce, and lemon pepper. Stir until fully blended to create a creamy, tangy, and slightly spicy sauce.
Carefully slice the Hawaiian sweet rolls horizontally, keeping the bottom intact to form a connected base. Place the bottom half on a baking sheet lined with parchment paper.
Generously spread half of the prepared sauce on the bottom half of the rolls for creamy, flavorful goodness in every bite.
Arrange the 12 thin slices of deli roast beef evenly over the sauce, then top each slice with a slice of pepper jack cheese.
Place the top half of the Hawaiian rolls over the layered roast beef and cheese. Melt salted butter and stir in remaining sauce mixture and a sprinkle of lemon pepper. Brush this mixture evenly over the top of the rolls.
Preheat oven to 350°F (175°C). Bake sandwiches on the baking sheet for about 15 minutes, until cheese melts and tops are golden. Optionally broil 1-2 minutes for extra toastiness, watching carefully.
Slice the sandwiches into individual servings and serve immediately. They pair well with green salad or sweet potato fries for a complete meal.