Cook the quinoa according to the directions on the packet. Set aside to cool.
Roast the chickpeas (optional): Preheat the oven to 425ºF. Rub the chickpeas between layers of paper or kitchen towel to dry. Toss them with the olive oil, paprika, garlic powder, chipotle powder, and salt to taste. Transfer them to a large rimmed baking sheet in a single layer. Roast for 15 minutes. Broil for about 2 minutes more, or until crispy. Set aside.
Make the dressing: Add the hummus, red wine vinegar, and lemon juice to a medium bowl. Mix well. Add 1 tablespoon plus 2 teaspoons water, or as needed until the desired consistency.
Combine: Transfer the cucumber, tomatoes, red onion, olives, artichoke hearts, and arugula to a large bowl. Add the quinoa and chickpeas. Pour in the dressing. Mix well until fully incorporated.
