When i spend hours after hours preparing for raids and raiding, i dont really have the will or the time to start a completely new grind for PvP.
I have already worked and earned some gear, yet it is useless for PvP. The same can be said for PvP'ers with regards to PvE.
The two aspects of the game aren't connected at all.
Make the PvE and PvP path to progression co-exist with each other so the game feels less fragemented, and more like "one game with different aspects".
Give PvE gear PvP stats as well as PvE stats, but make the PvE stats slightly better.
Now PvE'ers can get straight in to competitive PvP easier, but PvP'ers who have earnt their gear through PvP have a slight PvP gear advantage.
Give PvP gear PvE stats as well as PvP stats, but make the PvP stats slightly better.
Now PvP'ers can get straight in to raiding, but PvE'ers who have earnt their gear through raiding have a slight PvE gear advantage.