In a large skillet, brown sausage patties over medium heat. About 4 minutes per side. Set aside.
Whisk eggs and milk together in a medium bowl. Melt 2 Tablespoons of butter in the same skillet you used to cook the sausage. Turn the heat to low and add egg mixture. Continuously push eggs from the edges to the center of the skillet until curds form and eggs are cooked through.
Without pulling the rolls apart at the seams, carefully slice the entire package in half horizontally.
Place the bottom half of the rolls into the bottom of an 11X7 baking dish. Top with American cheese slices in an even layer. Add eggs and spread to cover the entire dish. Top with sausage patties, and finish with pepper jack cheese slices. Place the top half of the rolls on top.
In a microwave safe dish, melt remaining butter. Whisk in maple syrup and cayenne pepper. Brush butter mixture evenly over the top of the rolls making sure to get it in all the crevices.