If you are not going to PvP you should not earn AP. Also telvar drops would need to be significantly reduced as there would be less risk of losing them.

Cyrodiil and Imperial City were designed with PvP in mind. Adding some PvE gives players an incentive to visit. That is good for PvP.
All other zones were designed with PvE in mind. PvP would not work there for a variety of reasons. These events accomplish exactly what they are suppose to. They get players to do content they might otherwise ignore.

I think we already have places where players of all alliances can co-op in large groups to defeat daedra/NPC enemies. Its called Dolmens. Or their big brother, the Harrowstorms.

Is there enough demand to make that a whole zone?
*Looks at "Adventure Zone" Craglorn*
Well, no, probably not.

As for making the Alliance Point currency widely available in quantity without participating in PvPvE activities in a PvPvE zone or Battlegrounds...
No.
But nice try begging for the ability to gain Alliance War rank, Alliance War skill lines, Rewards for the Worthy, etc. without actually participating in PvPvE.

(Caveat to the above: I'm aware that you can gain AP from daily login rewards, but that's typically a very small monthly amount and not really worth comparing to what you can make in PvPvE activities - or in a co-op zone as the OP suggests. Furthermore, I'd like to point out that pretty much everything worth buying with AP can also be purchased with gold from Guild Traders, the Golden, or a PVPer willing to trade. Players who don't PVP don't need access to AP as a currency. Instead, their primary reason for wanting it from a co-op/non-PVP zone is to unlock the Alliance rank, skill points from rank, and Alliance skill lines without having to PvPvE.)