Cook the bucatini following the directions on the package.
Heat the oil in a large skillet over medium heat. Add the pancetta, stirring frequently so as not to burn, until cooked, about 6-8 minutes. Add the onion and garlic and continue until the onions are soft, not browned, about 5 minutes. Add marinara and crushed red pepper and stir until sauce is hot.
Transfer to a large mixing bowl. Add the hot bucatini pasta and combine thoroughly.
Divide among six serving bowls. Finish each with the grated cheese as needed.
Heat oil over medium heat. Add onions, carrots and garlic. Cook 10 minutes, stirring often.
Add basil, oregano, salt, black pepper, crushed red pepper and tomato paste. Cook 5-6 minutes, stirring frequently, to caramelize tomato paste.
Add canned tomatoes, stock and bay leaves. Simmer on low heat for 1 hour, stirring often.
Add balsamic vinegar and remove heat.
Yield: 1 gallon