Check quail for bones or feathers and place in mixing bowl. Add pancetta, vinegar, olive oil, honey and black pepper and toss to coat. Set aside and preheat grill.
In a 3-quart saucepan, place onion, water and sage and bring to a boil. Thread one quail, followed by one piece of pancetta, followed by one quail on each of four skewers and place on hottest part of grill. Cook 4 to 5 minutes on each side, until just pink at the leg bones. Meanwhile, pour polenta slowly in a thin stream into boiling water, until all is incorporated and polenta thickens, about 1 to 2 minutes. Switch to a wooden spoon, add Asiago and cook another minute, until as thick as paste. Remove from heat and pour on to a service-ready cutting board. Pile skewers on top of polenta and serve.