Cut the loaves in half horizontally. Drizzle some of the olive salad liquid on the bottom halves. Dividing everything by two, layer the cheese, mortadella, genoa, capicola and then the Olive Salad on top. Cover with the top halves, and then cut into pie-shaped wedges and serve to the masses.
Add the black olives, green olives, olive oil, roasted red peppers, capers, vinegar, crushed red pepper and sugar to a food processor and pulse until uniform but still coarse, about 10 times. Taste and adjust seasoning if necessary.