Preheat oven to 350°. Open buns and set out.
In a small bowl, whisk together apple butter and whole grain mustard. Spread a thin layer of the apple butte mixture on the inside top and bottom of each roll.
Place 2 quarters of cheese on the inside bottom of each roll then top each with equal amounts of thinly sliced deli ham. Finally top each sandwich with 1 quarter slice of the remaining cheese.
Put the tops on the buns and place into either a 9X13 baking dish or a 9X13 rimmed baking sheet.
In a small bowl, mix together melted butter, Dijon mustard, poppy seeds and garlic powder. Using a pastry brush, brush the tops of the rolls with the butter mixture until it's all been used.
Bake for 20 minutes or until tops are slightly golden and cheese is melted.