Heat 1 tablespoon of oil in a large skillet, over medium heat. Add in your onion and sauté for 2 minutes. Add the garlic and continue to cook until fragrant, 1 minute more.
Stir in the ground turkey and cook, mincing the meat with a wooden spoon. Once the meat is nicely golden brown, set cooked meat aside on a plate.
In the same skillet, heat the remaining oil on medium-high heat. Add the zucchini along with the broccoli florets and cook until tender-crisp, for 4 minutes.
Return your cooked ground meat back into the skillet then stir in the tomatoes, seasonings, and half of the shredded cheese. Reduce heat to a medium, and simmer for about 10 minutes, or until the liquid is mostly reduced.
Sprinkle top with remaining cheese, and allow it to melt for a few minutes more. Garnish with fresh cilantro and serve with lime wedges.