First of all, stop telling yourself things this. No, you don't wish you could handle all their problems for them. That would leave them nothing to do. So that wouldn't be right, and you know that. Furthermore, you are not responsible for their actions, and you know that too.

The first thing you need to do is listen to your own mind, which I do not believe is as clueless as you are making out. There is plenty of wisdom inside of yourself. The very way you explain this whole scenario shows that you see exactly what is wrong. Trust your own wisdom. A million people telling you what to do won't matter, if you can't separate sense from nonsense. I think you can. Try.

It's not nice to provide an audience to someone who is saying miserable stuff about someone else whom you regard as a friend. I'm not sure I understand what you are saying, but if that's what is happening, then stop allowing that. Also, if a friend of yours who is distressed can get attention from you by working up into an angry lather, then you are rewarding them for the wrong behavior. When that happens, you tell your friend to go calm down and take it easy and get back to you after they have gotten over their fit.

It can be loving to be present for someone who is in pain, but you can't let people spew out their anger at you. You already see how this isn't going anywhere good. So nothing to lose by stopping it. Tell your friends that their issues with each other are between themselves and that you cannot get in the middle. Then mean what you say. This is a bunch of drama that will quiet down, if they have less of an audience to perform to.