If he surrendered he wouldn't be Ulfric Stormcloak, which would be even more tragic. You're not alone, though - I was so angry at the whole situation that I literally, in-game, flung Tullius' sword down on the floor of the Palace of the Kings and stalked out when it was all over.
Re: F!DB/Ulfric Stormcloak - A Better Song
Also seconded.