Preheat oven to 300 degrees.
Use a food processor (recommended) or a blender, blend the cottage cheese for about 1 minutes or until it's whipped smooth with no curds.
Add in the eggs, 2 cups shredded cheese, hot sauce, salt/pepper, and cornstarch into the cottage cheese. Blend until combined and smooth.
Get a pot or kettle of water boiled on the stove and pour it into a casserole dish placed on the bottom rack in the oven, enough water to come halfway up the pan. Close the oven immediately to capture the steam inside.
Pour the egg mixture into a buttered a 9x13 baking dish or 17" high rimmed sheet pan. Bake in the oven at for 40-45 minutes or until the center is no longer jiggly and an inserted toothpick comes out clean.
While the eggs bake, cook the breakfast sausage patties in the skillet. Fry in a lightly oiled skillet with 1/4 cup water for 10 to 15 minutes over medium heat, turning occasionally until internal temp reaches 160 degrees. Add more water if needed as it cooks.
Add 6-8 slices of cheese on top of the egg, then return to the oven for 5-7 minutes or until the cheese melts into the eggs. Top with pieces of sausage and allow eggs to cool about 10 minutes.
Optionally - before assembling spread the inside of the english muffins with butter and broil until lightly toasted
Slice into 6-8 portions (depending on your bread of choice) and use a spatula to lift out the eggs and assemble the sandwiches.
If freezing them, allow the sandwiches to cool then wrap tightly in parchment paper or plastic wrap. Then place them into freezer bags or food saver bags.