In 12-inch skillet, heat oil over medium-high heat. Add pork; cook, breaking up clumps with spoon. Stir in chile, cumin, cinnamon, oregano, pepper flakes and allspice. Cook about 6 minutes or until pork is no longer pink. Add onion; cook and stir 5 minutes longer.
Add garlic; cook 1 minute. Stir in brown sugar, tomato paste, vinegar, olives and capers. Season well with salt and pepper. Add water; reduce heat so mixture simmers. Simmer 15 minutes (sauce will thicken).
Meanwhile, heat oven to 450°F. In 3-quart saucepan, heat chicken broth to boiling. With whisk, slowly stir in polenta. Cook about 3 minutes, stirring constantly, until polenta thickens. Stir in butter and honey. Season well with salt and pepper.
Pour pork mixture into ungreased 12x8-inch (2-quart) glass or ceramic baking dish. Spread polenta mixture over pork mixture. Sprinkle cheese over top.
Bake 2 to 3 minutes or until cheese melts and bubbles.