Ok, let's dance.
We put up an arena with all the planes available from WW2.
Next day, the board will be ripe with complaints about nothing but jets being flown around and lo, the cries for disabling it would be far and wide. So we disable them.
Next day, the board would be ripe with complaints about the Tempest and C-Hogs, and lo, the cries for disabling them would be far and wide. The cry, "No one can have a decent fight with those planes enabled", and so they are.
Next day, the board is ripe with the cries of bombers being used as ack-stars and lo, the cries would rise up from the land in a manner not unlike a Tsunami. The cry, "Bombers have to go!!" would be the banner waved, and so they would.
Next day....
ad infinitum.
We already had to deal with that with the DA players. Keep in mind, the call is not mine to make. However, I would argue it would be more trouble than it would be worth.
WW1 gives you what you want, in terms of gameplay. The 4 planes in there are pretty competitive with each other.