In food processor, combine chickpeas, garlic, tofu, lemon juice, tahini, 1 tablespoon olive oil and cumin and purée until very smooth. Season with salt and pepper.
Transfer to serving bowl and cover. Let sit at room temperature for at least 30 minutes before serving. Drizzle on remaining 2 tablespoons olive oil and sprinkle on paprika, if desired. Serve with flatbread.