How about some mushrooms in there for good measure? I think the roll you want is ciabatta.
Mine is very similar:
Ribeye with salt pepper garlic powder, grilled, thin sliced then salted again after rest.
Ciabatta roll, garlic buttered and then browned on the grill.
Saute baby bella mushrooms and onions
Add steak, mushrooms/onions bottom of grilled roll, melt and lightly brown cheese under broiler.
Add a light coat of Peter Lugers steak sauce to top of roll.
Combine and then eat until you feel like you are gonna throw up.