1. Whisk first 5 ingredients in large bowl to blend. (The dressing can be prepared 2 hours ahead).
2. Let stand at room temperature.
3. Place noodles in another large bowl.
4. Cover with boiling water.
5. Let stand until softened, about 4 minutes.
6. Drain and rinse under cold water to cool; drain well.
7. Insert scissors into noodles; cut several times.
8. Transfer to bowl with dressing.
9. Add tomatoes and all remaining ingredients, except peanuts and lime wedges, to noodles; toss to coat.
10. Divide among 6 plates.
11. Sprinkle with peanuts; garnish with lime wedges.
12. **Cook time does not include cooking the chicken or shrimp.