In a 2-gallon pot place calamari, vinegar, and a wine cork and fill with water. Bring to a boil, reduce the heat and simmer 50 to 60 minutes, until tender. Drain and allow to cool.
In a 6 quart saucepan, heat the oil until smoking. Add the garlic and the chili flakes and cook 4 to 5 minutes, until light golden brown. Add the tomato sauce, the wine and the calamari and bring to a boil. Reduce the heat and simmer for 25 to 30 minutes. Adjust the seasoning, stir in the parsley and remaining the oil and serve, or allow to cool and serve at room temperature.
In a 3-quart saucepan, heat the olive oil over medium heat. Add the onion and garlic and cook until soft and light golden brown, about 8 to 10 minutes. Add the thyme and carrot and cook 5 minutes more, until the carrot is quite soft. Add the tomatoes and juice and bring to a boil, stirring often. Lower the heat and simmer for 30 minutes until as thick as hot cereal. Season with salt and serve. This sauce holds 1 week in the refrigerator or up to 6 months in the freezer. Yield: 4 cups