Combine first 4 ingredients in a large bowl; toss gently.
Place 3/4 cup chopped tomato in a blender; process until smooth. Press puréed tomato through a sieve over a bowl, using back of a spoon; reserve tomato juice, and discard solids. Add remaining 3/4 cup chopped tomato, vinegar, and remaining 5 ingredients to reserved tomato juice in bowl; stir until well blended. Pour dressing over salad, tossing gently to coat.