In a large skillet heat oil over medium-high. Add onion and garlic and sauté until softened, 6-8 minutes. Stir in cumin, coriander, oregano, salt, and cayenne. Add turkey and cook, breaking up meat with a spoon, until cooked through and starting to brown, about 10 minutes.
In a medium bowl whisk together lime juice, oil, Dijon, garlic, salt, and pepper. Toss dressing with kale, carrot, and green onion.
In a large, dry skillet over medium, heat tortillas 1 at a time, flipping once, until heated through and pliable. Transfer to a plate and warm remaining tortillas, stacking them on top of each other.
Serve turkey and slaw with tortillas.