Preheat oven to 450°.
Pierce eggplants several times with a fork; place on a jelly-roll pan. Bake at 450° for 1 hour or until tender. Remove from baking sheet. Cool slightly; peel. Drain pulp in a colander 30 minutes.
Place drained pulp, tahini, and next 5 ingredients (through cumin) in a food processor; process until smooth. Place dip in a serving bowl; sprinkle with parsley. Serve with pita wedges.