For me, stam sorc and mag sorc play more distinctly from one another than any other class resource split. So changing would be a very different play style for your character.

The first concern is what race that are. If they're a stam race (khajit, wood elf, red guard), then they might be handicapped as a magic sorc. If they're a magic race (Breton, altmer), they might play better than they do now.

The second concern is whether you're feeling squishy because you're only ~C160. With players I've helped, c160 is about where you feel confident enough to run harder content...but you're still way, way, WAY underpowered compared to a 561 in good gear. The CP deficit cuts your damage, regen and resistance by about 20% each. Are you wearing two complete 5-piece sets and a monster helm on your attack bar? If not, that's another 30% power nerf. Is your current gear gold? If it's purple, another 30% nerf. If blue or less...60% nerf. If you're watching other 561s survive where you're having trouble, they might be 3x as powerful because of CPs and gear, not class.

Third, are you not using the right skills to survive the content that's giving you trouble? Playing a melee stam sorc requires some form of wards and heals. You really need vigor. And shuffle is a very, very helpful ability. Both stam sorc and mag sorc need to consider their heals and wards - if this is where your problem lies, that you aren't buffing sufficiently, then switching won't really help. And if ranged bow annoys you, try shrouded daggers - the dps on this range attack rules. (I also find bow annoying for pve).

So...my assessment is that your toon probably isn't developed enough to get a real sense of that they're capable of. There are pros and cons to any class, but you aren't talking about this character in a way that makes me think stam sorc can't work for you.

If it were me, rather than go through the nuisance and cost of a respec, I'd roll a mag sorc fresh off the boat. Make them a race appropriate to a magic build. Try mag sorc out - if you hate it, delete the character. If you like it, make him your second vet. In about 12 hours play, he can be a vet that is helping you earn CPs too. This is a really helpful strategy in getting your CPs faster, since different characters will get the quest rewards and area clear xp that previousmtoons have already cashed in.

How will he get to vet in 12 hours? You're first might have taken months to get to vet. Well...he gets to use your 160 CPs as a low level, which will make him really strong. And your main probably has a lot of mats and crafting experience - get the newbie green training gear, 5 piece seducer and 3 piece Magnus gift. (If you You'll want lvl 6, 18, 30, 40 to get to vet). Gear up, drink psijic and close all the dolmens and run the public dungeons. This is worth about 35 levels, and by the time you've done that you'll know if you like mag sorc or not.

I have both types of sorc, btw. They're very different, and I like having both as an option. Right now my Stam Sorc is wearing five morkuldin, five hunt leader and a monster helm. My morkuldin procs a silly sword on light/heavy attacks that counts as a pet. I also run a clanfear. When they're up, my hunt leader give me "when your pets attack an enemy you've recently attacked, you restore 2500 health and 1200 stamina, 5 second cooldown." This setup is hilarious, fun, and the sustain is off the charts. I wouldn't respec him...stam sorc is too much fun.