1.Cook the broccoli in boiling water until just tender, about 5 minutes, then drain and set aside.
2. Place the oil in a frying pan over medium heat and add the anchovies. Mash the anchovies with a wooden spoon, then sauté the broccoli and red peppers for about 5 minutes, adding 2 tablespoons of the butter to thicken the sauce. Add salt and pepper (to taste).
3. Cook the pasta for 3 minutes. Drain, and mix with the remaining butter, cheese and sauce.