Combine first 4 ingredients; rub over beef. Place beef on grill rack coated with cooking spray; grill 6 minutes on all 4 sides or until desired degree of doneness. Cover loosely; let stand 5 minutes.
Drizzle 2 1/2 tablespoons Chile-Garlic Vinaigrette over arugula; toss gently to coat. Cut beef across grain into thin slices. Arrange beef, 8 cups Grilled Antipasto Vegetables, and arugula on a platter; top with cheese.