Bring a large pot of heavily salted water to a boil. Cook the penne according to the package directions. Drain and rinse with cold water.
Combine the pasta with the carrots, green onions, red and yellow bell peppers, cabbage, and water chestnuts in a large bowl.
In a small bowl, combine the mayonnaise, San-J Mongolian Sauce, Sriracha sauce, and lime juice. Whisk until smooth. Pour the dressing over the pasta and vegetables and stir to coat. Add the cilantro and stir. Taste and add salt and pepper if desired.