Preheat the oven to 350°F and place a 9×13-inch baking dish on your work surface.
Keep the 12-count package of Hawaiian sweet rolls together as one sheet and slice horizontally through the middle to separate into a top half and a bottom half. Place the bottom half, cut side up, in the baking dish.
In a small bowl, whisk together 1/4 cup mayonnaise and hot sauce to taste until smooth.
Spread the mayonnaise–hot sauce mixture evenly over the cut surface of the bottom half of the rolls.
Arrange the 3/4 pound (12 thin slices) deli roast beef in an even layer over the spread.
Lay the 12 slices pepper Jack cheese over the roast beef, overlapping as needed to cover the surface.
Place the top half of the rolls over the cheese to reassemble the sandwich sheet.
In a small saucepan, combine 4 tablespoons (1/4 stick) salted butter, 2 teaspoons lemon pepper, 1 tablespoon Dijon mustard, and 3 to 4 dashes Worcestershire sauce. Heat over medium, stirring, until the butter is melted and the mixture is smooth and bubbling.
Use a spoon or pastry brush to spread the butter mixture evenly over the tops of the rolls.
Cover the dish tightly with foil and bake for 12 minutes. Remove the foil and bake 2 to 3 minutes more, until the tops are deep golden brown.
Remove from the oven and run a knife between the rolls to cut through the slices of beef before serving.