In a cat heirarchy a strong kitty will always try to take over and assume the alpha position. In addition, that is always subject to changes if cat one senses weakness in cat two. Cats DO work things out in their own way and they could care less what humans (or behaviorists) think. They only respond to the energy of another animal be it feline, canine or human. Punishment is useless and counterproductive because they simply do not understand being hurt - they would just try to avoid the hurter in the future but it would not teach them anything.(except fear)
Cats do not follow a pack leader the way dogs do but they do sense their human parents energy and respond accordingly - so if you are nervous, they will be nervous. If you are stressed, they are stressed as well.
Just imagine how stressed you become when they hiss - well they can feel your anxiety and it makes them nervous.
Actually if you ever watched cats in the cat room of a shelter you would see similar behavior but they eventually do work things out in an amicable fashion .Because they have to. Yours will too!
Please let me know how things are going. If you have questions along the way I will always be here for you.
I will help you resolve this so you can have peace in home so don't worry. Things will be fine -I promise.
Just remember to be CALM all the time!
Veterinarian
3+ years in small animal medicine, focus on feline medicine