Pray for a dlc or a mod to take care of it. Otherwise, tough cookie. Chew on it.
This. I have a mod that fixes it too, but not everyone has that option. Here's the way I see it.
When you first start the game, be a Warrior. You don't have to think, run in swinging, you have your Armor for a Safety Net. This is your Novice/Apprentice tier. In the endgame you can PWN the battlfield like no other, most players don't get past this.
Once you know where everything is, have some idea how to approach certain enemies, then a Sneak character might be better. Unless you go all Warrior+Sneak, smith up your dagger to do 500 damage without the multipliers, and craft Nightengale Ninja up to the armor cap, you will be weak in a standup fight against multiple assailants, but you can pick them off one-by-one. This can be OP in the late game, without Crafting, nor Magic, but most players can't get over what they learned as a Warrior. So, they do it anyway.
A Wizard is a completely different game. I'd rate the requisite skills about Expert on Adept. Player Skills, because there is no end-game invulnerability AND irresistible force waiting for you. You can make it free, but at no point can you do thousands of damage to everyone in the melee at once. The trade off is access to every special power in the game, in combination if you learn to use them that way.
The whole source of this argument is you hold up a Sword, a Firebolt, an Arrow, and directly compare them. The Sword has more damage, but you have to get close. The Bow has more reach, so the Firebolt is not as good. I'm building for the most OP thing I can read about on the internet, so I'm going to ignore the one that does the least damage. If that's you, don't bother with Magic. I see the same thing in D&D, a genius can play an idiot, but even someone of average intelligence can't play someone even slightly smarter than them. Intelligence becomes a dump stat to make your Spells more powerful, and you become a Warrior, with Sparckles. (I'm guessing this is the reason for the popularity of Twilight.)
I don't have enough time in this thread to tell you how to play a Wizard (I.E. a Mage with nothing but Robes, and Magic.) I've tried, and it''s very hard when I have someone looking over my shoulder where I can Show them how to do it, but I can tell you 1 thing:
It's not about power. That's a Hammer, any idiot can figure out how to use a Hammer. It's about knowing which of your vast collections of spells at you disposal is the right one at this time, and juggling them between hands fast enough. You have to manage your Magicka, just to get to the point that Enchanting is effective. Use spells with Durations, so you don't Have to spam them, and with some good robes, you should recover enough to get more spells off before you have to recast. Fighting like this, what you cast where, and in what order is critical to success, and failure.
And finally, an Altmer without Armor, or Weapons is the fasted most maneuverable playable character. the trade off is, you have to keep movinng. Fortunately, you don't have to stand there, and slug it out, or walk around with an arrownocked until it's fully drawn, or creep up behind someone before someone else sees you. If you are not using this ability, you will not survive as a Wizard. You need Patience too, because not only are you the fastest running, but the slowest to do damage. This makes for a long drawn out fight, which I like. You may call "Epic" running up, and knocking down the biggest badass in a couple swings, but to me, I think back to the Sagas of Beowulff taking on a giant stark naked, and beating him to death with his own arm. That was an epic battle, one they're still singing about. That on hitter quitter, the last in a game full of WHACK, "Next!" kills? You're going to forget about it in the next 5 minutes.
So, which is it. Do you have an Elite set of an equipment, or are you an Elite player? If you go for the former, don't play a Wizard. What they wear has little, if anything to do with it.