1. Preheat broiler.
2. Sprinkle steak evenly with ginger, salt, and garlic. Place on a broiler pan coated with cooking spray; broil 6 minutes on each side or until desired degree of doneness. Let stand 5 minutes. Cut steak diagonally across grain into thin slices.
3. Combine cilantro and next 6 ingredients (through chile paste) in a small bowl, stirring with a whisk. Combine lettuce and remaining ingredients in a large bowl. Drizzle half of miso mixture over lettuce mixture; toss to coat.
4. Place 1 1/2 cups lettuce mixture on each of 4 plates. Top each with 3 ounces steak; top with miso mixture.
Dessert: Heat 1/4 cup sugar, 1/4 cup torn mint, and 1/4 cup water until sugar melts. Strain; cool. Stir in 4 cups halved strawberries.