Reduce heat to low and add the tomato juice, tahini, Bragg's, vinegar and garlic if using. Mix well and partially cover for a minute, to let everything heat up.
The serving is very important: Scoop onto a plate, and drizzle a little vinaigrette on the pasta. Then heap salad on top of the pasta and add more vinaigrette.
Note on vinaigrettes: the classic with this pasta is Everything Dressing, and if you use it, be sure to put the garlic in the dressing! This garlickyness is so important! Another tasty option is Golden Middle-East Dressing.