In a medium nonstick, ovenproof skillet, cook the sausage and crushed red pepper, breaking up the meat, until browned, 7 to 10 minutes. Using a slotted spoon, transfer to a medium bowl.
In the same skillet, add the bell pepper and onion and cook, stirring, until softened, about 7 minutes. Stir in the cooked sausage and the butter; reserve the bowl.
Preheat the broiler. In the same bowl, whisk together the eggs, milk and 1/2 teaspoon salt and pour into the skillet. Cook, scrambling the mixture, until almost set; top with the goat cheese. Broil, leaving the oven door slightly open, until set in the center, about 5 minutes.