While sausages are cooking, cut rolls in half lengthwise (keeping rolls in a sheet if possible). Place bottom half of rolls in a 9 x 13 baking dish. Set tops aside.
Place a heaping spoonful of scrambled eggs onto each bottom rolls. Top eggs with 2 quarter slices of Monterey jack cheese. Place sausage patty on top of Monterey jack cheese and top sausage with 2 quarter slices of American cheese. Place top half of buns on top of bottom buns.
Bake 15-20 minutes at 350 degrees or until cheese is bubbly and melted. Serve hot.