Melt 1 tablespoon of butter in a large sauté pan over medium-low heat. Add the eggs and cook until just soft-set. You can fry or scramble the eggs. Season with salt and pepper and remove from heat.
Slice the bagels in half and remove the top layer. Cover a sheet pan with aluminum foil (for easy cleanup) and place the bottom rolls on it. Add a layer of cheese, egg, then cooked bacon evenly over the bottom of the bread. Return the tops of the rolls.
Bake at 350 for 13-15 minutes until the sliders are warmed through and the cheese is melted. Remove, slice and serve immediately.