Place zucchini in a large saucepan; cover with water to 1 inch above zucchini. Bring to a boil, and cook 20 minutes or until zucchini is very tender. Drain. While zucchini is still in colander, coarsely mash zucchini with a fork; drain.
Combine juice and next 6 ingredients (juice through garlic) in a bowl; stir with a whisk. Add zucchini; toss well. Sprinkle with cheese. Serve with pita bread.