Combine first 7 ingredients in a small saucepan. Dip each steak into the lime mixture to coat.
Place fish on a broiling pan coated with cooking spray. Sprinkle with salt and pepper. Broil 10 minutes or until fish flakes easily when tested with a fork.
While fish cooks, place lime juice mixture over medium heat; cook until reduced by half (about 8 minutes). Serve sauce with fish.