Thaw the rolls per the package directions. After thawing, remove the rolls from the package. Using a serrated knife cut through the middle leaving the top and bottom piece intact.
In a small saucepan over medium heat, melt together the softened butter, honey mustard, honey, poppy seeds, grated onion, Worcestershire sauce and garlic powder. Whisk until fully combined and slightly thickened then remove from the heat.
Brush each piece of the sliced rolls with approximately 1/3 of the seasoned butter.
Layer 1/2 of the cheese on the bottom, then arrange the ham over the cheese.
Finish with the final layer of cheese.
Replace the top piece of Sister Schubert's Parker House Style Yeast Rolls over the final layer of cheese.
Carefully move the rolls onto a large round pizza pan lined with parchment paper. Brush the remaining seasoned butter on the top and sides.
Cover loosely with foil. Bake in a preheated 350°F oven covered for 15 minutes then uncover and bake for an additional 10-15 minutes or until the tops are golden.
Cut apart and serve immediately.