Make the dressing. In a sealable jar, combine the red wine vinegar, thyme, pepperoncini pepper brine, vegan mayonnaise, agave nectar, Dijon mustard, Tamari, garlic, salt, and pepper. Seal the lid on top of the jar and give it a good shake. Open up the jar and add the olive oil. Seal the lid back on and give it another shake. Set aside.
Step 2
In a medium bowl, combine the chickpeas, cherry tomatoes, red onion, cucumber, pepperoncini peppers, olives, and sun dried tomatoes. Season this mixture with salt and pepper and toss with 3 tablespoons of the dressing.
Step 3
Add the romaine, radicchio, and remaining dressing to a large serving bowl. Season with salt and pepper. Add ½ of the chickpea and vegetable mixture and toss to combine. Top the salad with the remaining chickpea and vegetable mixture, extra black pepper, and vegan "parmesan" if you like. Serve immediately.