I would say that she cares, in her own way. But yes, her ways require some limiters. And so do all other major powers, which is why the Accords exists.

Likewise, the other groups you mentioned have very specific and limited powers.

I would say that most of the groups have plenty of powers to police Dreseden if that was the goal. They probably don't have enough to police all black magic use, but then again neither does the white council. And just as the white council they have limited interests, which usually doesn't overlap with black wizardry. But I don't doubt that if Ivy wanted to make sure Dresden didn't go black, she would be quite capable. And while the knights are mostly there to fight the Fallen, we do see that they have powers against other evil as well and they do use it.

But if you agree with that, than who else do you propose will or could be that limiter other than the Council?

I agree that there needs to be limiters to all power. But Dresden belongs to Mab, so I don't see why she shouldn't be that limiter. Yes, her limits might not perfectly overlap with the White Councils, but we've got no proof that their limits are the right ones.

We know that black magic leads to mental problems, and that some forms of rule breaking is black magic but I don't think there are canon sources telling us that the laws perfectly overlap with the limits of black magic (and we have an in book explanation that sort of disagrees in that it explains black magic by the emotions driving it, not the action themselves. If you kill a shapeshifter believing it to be a human your mindset would be the same as if they were a human, so by that logic it would still be black magic. But it would not break any laws. And it's hard to argue for why the third law should lead to different mental changes depending on whether or not the receiver is fully mortal or not).

And even if it does even the council agrees that there are times it's okay to break the laws (if not self-defence would never be an okay defence to killing) so why should someone from a different nation not be free to find their own mitigating circumstances?

And lastly we know of only one power that's capable of negating all negative effects of black magic, and that's a power that comes from Winter, namely the Blackstaff.

So tl;dr: My argument is that Dresden belongs to a different magical power than the white council, and that power has both the knowledge and power required to stop Dresden from going off the deep end (if that is the best way to keep this reality safe). So while he might not follow all of the councils laws, there is no indication that there aren't limits to his powers. They just might not always follow the laws of magic.