Heat the mixture in the microwave on high for two minutes or until it begins to boil rapidly. Add the vinegar, then whisk while adding the oil. Add bell pepper, salt, garlic powder, Worcestershire, black pepper, parsley, oregano, thyme and basil. Let dressing cool for about 15 minutes before adding cheeses and egg substitute. Whisk until slightly thicker, then chill.
Overnight refrigeration makes the dressing thicker.
Preheat a barbecue or indoor grill to medium heat. Salt and pepper the chicken, then grill it for 5 minutes per side, or until done. Remove chicken from the grill and dice it. While chicken cooks, prepare the salad by combining the romaine lettuce, red cabbage and shredded carrot in a large bowl and toss. Prepare the sandwiches by first microwaving each pita for 20 seconds.