In a medium bowl, combine the chicken broth with soy sauce, wine, sugar, dissolved cornstarch and water, sesame oil and crushed red pepper. Whisk until smooth.
In a large skillet, heat 2 t. oil until hot and add the onion wedges. Cook for about 6 minutes. Add mushrooms and continue to cook for another 6 minutes. Transfer onion and mushrooms to a plate.
Add another 2 t. oil to the skillet and season chicken with salt and pepper and add to the skillet and cook over med. high heat until golden about 4 minute each side. Transfer to the plate with onions and mushrooms.
Add 1 T. oil to the skillet and add the bok choy and red pepper pieces. Cook on medium high heat until crisp tender about 3 minutes. Transfer to the plate with the onion, mushrooms, and chicken.
Add the remaining oil to the skillet and cook the ginger and garlic until fragrant about 1 minute. Return the chicken and vegetables to the skillet. Whisk the sauce in the bowl, and add to the skillet. Bring to a boil and simmer stirring until slightly thickened, about 1 minute. Transfer to bowls and serve.