Heat a grill pan over high heat. Toss chicken with soy and oil and grill 6 minutes on each side.
Combine cucumber, sprouts, carrots, scallions, basil, mint and sesame with a generous sprinkle of sugar and vinegar. Season salad with salt, to taste.
Whisk peanut butter, soy sauce, vinegar and cayenne together. Stream in vegetable oil.
Slice cooked chicken on an angle. Toss with veggies and herbs.
In a very hot nonstick skillet or over a gas burner heat tortillas 15 seconds on each side.
Pile chicken and veggies in wraps and drizzle liberally with spicy peanut sauce before wrapping and rolling.