Yes you can mix Akadama with other material, I use composted bark or pumice as well, depending on the tree. I would not add any peat though. You could use sphagnum moss.
You should not damage the roots by removing soil. The roots are tough and unless you are very rough will be fine. But I would only take them out of the pot and part them without touching the roots at this time of year. That is unless you paid very little for them and you can afford to lose them. I think all I would do would be to take them out part the two and put straight into another pot, preferably bigger so that root disturbance is as little as possible. Then I would put them in a shady place and keep them well watered for two or three weeks. You know what you are doing, so you should be fine.
Geoff