Not sure how well this will be taken. TBH I've not even really considered all the balance issues so I'm sure things would have to be swapped around (like pve actions that have different or reduced effects in pvp), but I think the best way to get more into pvp is to make the skills themselves the prizes, that is let them be usable in pve.
As a tank I would pvp like crazy to have Purify. And I don't think it would be to crazy, after all ranking to 50 you cant have all the skills and we all have multiple jobs. My WHM would love Mana Draw and Aetheric Burst.
Like I said this is just the opinion of a very passive pvp player. Just throwing that out there. As a passive pvp player I would become far more active to get these very useful skills and I think others would do the same.