In a large bowl, mix honey with warm water and then stir in yeast to activate yeast. After ~5 minutes, slowly add flour and salt, mixing as you go. Using your hands, knead dough, adding flour if needed until it springs to the touch. Place dough in a bowl, adding olive oil to coat. Cover bowl with a kitchen towel and let rest for 30-60 min.
Meanwhile, make pizza sauce by combining all sauce ingredients in a saucepan, and bringing to a boil before turning off heat and setting aside. Mix pre-cooked chicken breast slices with about ⅓ of this mixture.
Preheat oven to 500 degrees. Remove dough and place on a lightly floured surface. Using a roller dusted with flour, roll dough into a circle until it is slightly larger than your 12-inch pizza pan and press cornmeal into the bottom-side of the dough. Place pizza dough on pan and fold the edges inward to make a crust. Lightly brush crust with olive oil or melted butter.
Place dough in oven without toppings for 5 minutes and remove.
Place toppings on the flatbread, starting with ½ of the remaining sauce, then 1 cup mozzarella, and then the chicken, beansprouts, peanuts, and carrots. Next add the remaining sauce and cheese. Place back in oven and bake for about 5-10 minutes or until the cheese is melted and golden. Top with cilantro and green onions and serve warm.