Combine cooked chicken, green onion, ONE tablespoon cilantro, soy sauce, ginger and garlic in small bowl. Mix well. Cover; refrigerate at least 2 hours to blend flavors.
To serve, combine cream cheese and milk in small bowl. Beat at medium speed, scraping bowl often, until smooth (about 1-2 minutes).
Spread cream cheese over bottom of serving plate. Spoon chicken mixture evenly over cream cheese to within 1/2 inch of edge.
Top with remaining cilantro, peanuts and carrots. Drizzle with sweet and sour sauce. Serve with crackers.
Note: Cooking time is actually the time for the chicken mixture to marinate.