IMO, arena fights are mainly chaotic and the only solution are the missions. The main problem with that is that players do not have time, patience or skill the setup missions. In the other hand, missions are not rewarded and haven't clear goals and times.
A possible solution could be to implement a rudimentary mission generator, setting up factors as planes, goals, maximum duration and mission type (cap, bomb, land strike, etc). Adding also a new rule, perk points only for participants in succesful missions. And adding also two primary scoring factors, success missions flown and failed missions flown. Add also clear messages indicating "mission goal achieved" or "mission goal failed, timeout".
Some examples of goals:
"Prevent base A11 to be taken by enemy during the next 15 mins"
"Take A11 in less than 15 mins"
"CAP over that quadrant for 10 mins"
"Destroy all fuel depots at base A11 in less than 20 mins"
The auto-generator could have four or five missions per country of diferent types actived all the time and synchronize them with other countries missions to ensure big battles will occur.
Of course, better than autogenerator would be to have three to six persons fully dedicated to mission edition all the time and playing AH like a real time wargame.
As a side note, in the last four days I met two new players from Spain, their first comment was just referred to the total absence of coordination and organisation, and they were right
