Whisk the hoisin, soy, mirin, sesame oil, garlic and ginger in a mixing bowl. Season with salt and pepper. Add the sliced chicken and toss to coat evenly. Marinate the chicken, covered, at room temperature for 20 to 30 minutes.
Once 5 minutes of marinating time remains, heat a large wok or skillet over high heat and add 2 tablespoons of the canola oil to heat. Using a slotted spoon, strain the chicken add to the very hot wok or skillet. Cook, allowing it to brown, stirring occasionally, about 2 minutes. Add the red bell pepper and the onion slices, allowing them to soften, another minute. Next, add the cabbages and carrots and cook, stirring occasionally, until just browning, about 2 minutes. Push the chicken and vegetables to the side of the wok and stir in the mushrooms, bamboo shoots and water chestnuts. Remove from the heat and set aside, keeping warm.
Place a nonstick skillet over medium heat and add the remaining 1 tablespoon canola oil. Add the beaten eggs to the skillet, allowing to scramble, 2 to 3 minutes. Once cooked, break up the eggs with a rubber spatula and add to the chicken. Toss to combine.
Spread about 1 tablespoon hoisin sauce on each Chinese Crepes with Scallions. Top with some mu shu chicken, sesame seeds and scallions. Add cilantro leaves if desired. Roll up like a crepe and serve with Sriracha if desired.
Chinese Crepes with Scallions
In a medium glass mixing bowl, whisk the flours, salt, 1 cup water, the sesame oil and eggs; the batter should be smooth and free of lumps.
Heat a crepe pan or 8-inch nonstick skillet over medium heat. Very lightly coat the skillet with nonstick cooking spray. Ladle in 1/4 cup of the batter. Gently rotate the skillet for a few seconds, swirling the batter to create a thin, even layer over the bottom. Add 1 to 2 tablespoons scallions to each pancake at this point. Cook the pancake until the underside is pale and just firmed up, about 1 minute.
Flip the pancake over and cook for another 30 seconds. Remove from the skillet and transfer to a plate and cover with a kitchen towel. Continue with the rest of the batter until all the pancakes have been made. Keep warm until ready to serve.