Put the water and 1 teaspoon of the salt in a large saucepan and bring to a boil over high heat. Add the pasta and cook, uncovered, stirring occasionally, until tender, 6 to 8 minutes. Remove from the heat and drain. Rinse with cool water and drain again.
In a large mixing bowl, combine the pasta, salami, provolone, mortadella, ham, olives, onion, garlic, celery, parsley, and thyme.
In a small bowl, whisk together the oil, vinegar, Worcestershire, hot sauce, 1/2 teaspoon of the salt, and the pepper.
Pour over the salad mixture.
Add the remaining 1 teaspoon salt. Toss to mix well.
Store in an airtight container and refrigerate for at least 8 hours before serving.