Combine first 4 ingredients in a medium bowl; toss well. Set aside.
Arrange bread, cut side up, on an ungreased baking sheet. Broil 5 1/2 inches from heat 3 minutes or until lightly toasted.
Arrange eggplant in a single layer on a baking sheet. Brush eggplant evenly with olive oil. Broil 3 inches from heat 2 minutes on each side or until golden.
Top each bread slice with 2 tablespoons olive mixture, 1 eggplant slice, 2 additional tablespoons olive mixture, and 1/4 cup cheese. Broil 5 inches from heat 1 1/2 minutes or until lightly browned. Allow to stand 3 minutes.