Sure anyone can play skyrim and kick ass, but the problem is that the higher level you achieve, the worse off you are. In the end, it takes a ridiculously large amount of time and effort to kill one guy on Master difficulty. Also, as a mage, you get killed in one hit if you're not careful. On the other hand, the warrior build has absolutely no problems whatsoever. Their damage actually strengthens as they level up.
Uhm i killed always dragon priest and dragon in 2-3 min, dragon alot lesser when i get the shout to make them land, and i not use illusion or stealth or conjuration, or potion or 100% reduction of magic cost (my max is 75% for destruction) or follower (i shouted lydia from the highest mountain of the game),don't use armor (i have armor cloth for the buff of alteration spell), and i have 200 hp(is a risk but i'm a pure mage is normal have low health and risk to die) i played on master and i get the lvl 63 and i played 196 hour, and playing on console.
Now i have a question, you playing another version of skyrim? Destruction don't have problem of damage maybe you must learn to play if you get hitted by arrow and magic or melee, and don't said is a problem of game.
The only problem of destruction is the lack of variety of spell make them annoying , not damage.