Preheat oven to 450. Toss the chicken with the spices and salt and pepper. Place on a baking sheet and bake until blackened well on all sides and tender in the middle, flipping once or twice during the cooking as needed, about 40 minutes.
Cut the tops off the carrots and wash them well but do not peel them. Place them into a frying pan with a healthy drizzle of olive oil. Season well with salt and pepper. Cook on medium high heat to brown on all sides, about 15 minutes.
Simmer the prunes with the balsamic and oil with a little salt. Simmer until the sauce is thickened, about 15 minutes. Add water if it becomes too thick.
Toss the quinoa with the chives, oil, and chile flake and season with salt and pepper to taste.
Mix the yogurt ingredients and set aside.
Build the plates starting with the quinoa, then the carrots, then the prune sauce, then the chicken, and finally the yogurt. Top with extra chives.