Place the garlic in a food processor, and pulse 2 to 3 times. Drain the chickpeas in a colander over a bowl, reserving 1 tablespoon chickpea liquid. Add chickpeas, reserved liquid, yogurt, juice, and oil to garlic, and process until smooth. Spoon chickpea mixture into a bowl. Rinse food processor.
Combine bell peppers and next 4 ingredients (bell peppers through salt) in food processor, and process until smooth. Swirl the chickpea puree and bell pepper purée together using a knife (do not thoroughly combine). Serve with pita wedges.