A Warrior doesn't need magic to win. The only magic skills I have were bought in books or were rewards for quests. And I've only used Meteor Strike (for taking on monsters too powerful for me). I have used Healing, but find it too slow. I do think that Identify is near essential (in my opinion). Aside fom that, almost every skill point has gone into The Way Of The Warrior. The only other skill I got sucked into was Suvivor's Instinct.
There are only (I think) two quests that require non-Warrior skills: The Thieves Guild and Kill The Vampire in the Dark Cave.