Prepare the Pita Shards: Preheat your oven to 350°F (175°C). Lay the separated single layers of whole-wheat pita on a large baking sheet. Drizzle with 1 tablespoon of olive oil and use your hands to ensure they are lightly coated. Sprinkle evenly with the salt-free za'atar. Bake for 10-12 minutes, or until deeply golden and crisp. Set aside to cool completely, then break into bite-sized shards.
Mix the Yogurt Foundation: While the pita toasts, prepare the yogurt foundation. In a small bowl, whisk together the non-fat Greek yogurt, tahini, minced garlic, and 1 tablespoon of lemon juice. Continue whisking until the mixture is perfectly smooth and creamy. Season with a pinch of black pepper and set aside.
Create the Vinaigrette: In another small bowl or a glass jar with a lid, combine all ingredients for the Zesty Sumac Vinaigrette: 1/4 cup olive oil, red wine vinegar, 2 tablespoons lemon juice, sumac, pomegranate molasses, lemon zest, and black pepper. Whisk vigorously or shake the jar until the dressing is well-emulsified.
Assemble the Salad Core: In a large salad bowl, combine the core vegetables: the rinsed chickpeas, diced red bell pepper, cucumbers, cherry tomatoes, radishes, and sliced red onion. Pour about three-quarters of the prepared vinaigrette over the vegetables and toss gently to coat. Allow them to marinate for 5-10 minutes.
Finish and Serve: Just before serving, add the chopped romaine, parsley, mint, and dill to the salad bowl. Drizzle with the remaining vinaigrette and toss gently to combine. To plate, spread a generous spoonful of the Yogurt-Tahini Foundation on the bottom of each of four plates or shallow bowls. Pile the salad high in the center and top generously with the toasted Za'atar-Spiced Wheat Shards. Serve immediately.