08-08-2016, 04:37 PM
I would try the following.
Move the two cages into the same room.
Keep the birds in the cages they are in now.
During supervised out of cage time, let them all out and see how they are with one another.
During out of cage time, add some more perches the same height as the spot they are fighting for in that cage so they have more choice and are less likely to fight to be the highest.
See if they return to the same cage and are calmer with the changes.
If it was a lack of perches at the same height, you might find your birds more content now.
If they are still bickering, then return the pair you split up into the other cage, but keep it in the same room.
If the fighting has been bad, then I wouldn't recommend this at all and would keep them apart (same room, different cages).
Out of interest, what is the ratio of males and females in your flock?