Preheat oven to 425 degrees. In a small bowl, whisk honey, lemon juice, paprika, cumin, ginger, cinnamon, salt, pepper, and cayenne. In a large bowl, combine zucchini, turnips, squash, onion and garlic. Toss with 3 tablespoons spice mixture.
With a heavy chef's knife or poultry shears, cut hens in half lengthwise, from breast through backbone. Cut off wing tips and first joint. With a paper towel, pull skin off breast, wing, thigh and leg bones; discard skin. Rub hens with remaining spice mixture.
Lightly oil a 10 x 14 inch roasting pan or coat it with nonstick spray. Spread vegetables in pan; toss with tomatoes and their juices. Nestle hens, bone-side down, into vegetables. Add chicken broth to pan. Cover tightly with foil.
Bake hens and vegetables for 45 minutes. Uncover and roast, basting occasionally with pan juices, until hens are no longer pink inside and vegetables are tender, 15 - 20 minutes more. Garnish with parsley and cilantro and serve.