Carefully dip each rice paper in water; place between damp paper towels or clean, damp cotton towels. Let stand 10 minutes.
Meanwhile, combine the ginger, wasabi paste, and 1 teaspoon lime juice in a small bowl. Stir in mayonnaise dressing or salad dressing.
Toss together the shredded broccoli, tofu, and coconut in a large mixing bowl. Add mayonnaise mixture; toss to coat.
Line each rice paper with a lettuce leaf. Spoon slaw mixture atop. Add several mango slices. Wrap rice paper around broccoli mixture, folding ends in as you roll up wrap. In a small bowl stir together soy sauce, 1 tablespoon lime juice, and crushed red pepper. Serve with Dipping Sauce. Makes 6 spring rolls.