Crumble the ground turkey into a medium bowl. Add the paprika, red pepper flakes, chili powder, salt, pepper, cumin, oregano, coriander and cloves; mix well. Stir in the vinegar and 1 tablespoon of water; cover and refrigerate for at least 1 hour, up to overnight.
Place a large pot over medium heat. Add the remaining 1 tablespoon of water, onions, and garlic. Sauté until the onions begin to soften, about 4 minutes. Turn the heat to medium-high and add the turkey mixture and mushrooms. Cook, stirring often, until the turkey is browned, about 8 minutes. Add the broth and bring to a boil. Add the kale. Reduce the heat to a simmer, cover, and continue to cook until the kale is tender (about 10 minutes), and serve.