It's not that I want the game to be brainless but there are certain parts of quests I can easily do with a warrior but if I'm a mage it'll be near impossible or I'll struggle greatly and have to turn down the difficulty.
Sure. Although there is plenty of combat in the game, the same actually applies to warriors. Try doing the Thieves' Guild or Winterhold College quests with a warrior if you don't believe me.

Mages should at least be able to spam their magic consistently instead of having to run around when their mana runs out. Warriors keep fighting without stamina and a 2h weapon is still very strong without stamina. Mages have nothing without mana and even that runs out very quickly. If anything, patch the game so mages can use spells for longer to at least be able to defeat 1 or 2 guys with destruction magic without using a full bar or more of mana. I don't even care if mages do less dps or damage than tanks, they should at least be able to use their magic and not be afraid to keep running without mana. Or maybe increase the range of spells so mages don't have to go head to head and can nuke.
I had the magicka problem in the very early game with my mage. I had a very "interesting" time learning what worked and what didn't. Finally, now that my guy is level 10, having enough magicka really isn't a big issue any more. (Note that this is with a Dunmer, who has no natural advantages.) Did you get the "half magicka cost" perks for the spells you were using?
In other news, ranged spells do exist, you just don't start with them.
Why play a mage? cuz it's fun to spam different spells or nuke enemies. If you can't even do that with a mage it's not even worth it and more fun as a warrior.
You protest, but spamming for pretty colors really is the most brainless possible way to play a mage. Again, if you just want to walk forward with your eyes closed shooting neato fireballs and have everything die, you can. Crank down difficulty and go to town. That's not really playing like a mage in my opinion, but if it's what you truly want, you can have it.
They definitely should not rebalance the game just to enable your button-mashing playstyle. Real mages who actually used all their tools would become ridiculously overpowered.
If a warrior is more fun, then what are you complaining about? Go have fun! Not every build has to be your favorite. I'm never going to make a Destruction mage or a bound weapon Conjurer because they seem boring and stupid, but you don't see me making threads demanding a patch so I will like them more.