That's fine. At least everyone will have an equal opportunity to better their character. PVE encounters are static, they don't care if you leveled to 50 first week of the game, or joined the game a year after release. PVP on the other hand get progressively harder to get into for fresh 50s. If the only source of competitive gear for PVP is actual PVP due to special PVP stat, most new players will just stay away from it, and game will continue to bleed PVP players faster then replenishing them. PVP and PVE gear progression should be nothing more then two paths to same goal.
And to comment on your "leetness". In current system, if you go up against an equally skilled player who's decked out in PVE gear of equivalent quality to your PVP gear, you will win by default. Likewise if you both go into a raid, he will out DPS you. I see no reason why things should be this way. If you both put in equal effort in different aspects of the game, you should be equally viable in all aspects of the game.
Special stats just discourage people from taking part in all aspects of the game. You shouldn't want to keep "PVE noobs" out of your PVP, you should welcome the new blood. Fact is, some of them will enter with their "carebear" gear anyway, so the fact that they're at a disadvantage puts you at a disadvatage as well if they're on your team.