My kittens started getting in some seemingly serious fights around this age as well. They are litter-mates, brother and sister. Both were already spayed/neutered and had been budding around ever since I got them. The girl also cries whenever her brother is seperated from her.
At around 6-7 months, the boy really started picking on the girl, not letting her eat, scaring her away from me, fighting her off his favorite perch. It freaked me out. At a loss for how to reconcile them, I started to play with them more and tire them out with feather toys on a stick. I've concluded the boy thought the girl was his new favorite toy and playing with her was much more fun than anything else, so I had to drain him a bit of that energy with something else as the object. He would be lay-down panting sometimes he had played so hard.
Now at 9 months old, he's still a little pill to her sometimes, like a typical older brother, but he has backed off significantly, and I'm not afraid that he's ever actually trying to harm her. She gained a lot more confidence through playing as well(she's faster and has more stamina than him) and has let him know his boundaries, whereas before, she would helplessly run away. They cuddle together all the time still and have gotten into terrible trouble together, finding out how to push over a heavy full set of drawers...little mutants. How I love them!
They also both hiss when they play with toys, either at the toy, or at each other when they catch it. It scared me at first, but that's just how they play. She will also hiss at her brother if he's playing too rough, which is a healthy warning that he has to learn to listen to.
Pay attention to body language, ears, whiskers, fur and tail to figure out if they are really fighting or just playing rough.
I'm guessing being spayed and the big weird cones probably has something to do with your kittens hissing. They like to hide when they're hurt and they probably feel vulnerable or something. I'm also convinced there is some kind of kitten puberty around that age where they figure out who's the boss. Give it time. As soon as they're healed and able, see how some good exhausting play sessions leave them. I knew I could do this with dogs, but was pretty amazed at how well it works with my kittens.
If your kittens really are hurting each other, I would consider getting some more professional help from a behavioralist. Hope all goes well! Do not despair!!