Is this game pvp or pve?

So check it, I was just thinking about what the devs are saying in the updates and comparing that to the ingame content.
Ok, I love pvp and am on a pvp server. The best gear in the game is the Battlemaster set, everyone is working toward it, that is the current grind. It's a pvp set so that is understandable.
On pve servers, the main focus is pvp also, they just don't get ganked in open world pvp. Pve servers have warzones, dueling, so do they have Ilum there on pve servers?
Is the best gear on pve servers the Battlemaster set as well?
In world of warcraft you knew up front it is pve game and pvpers were just the side subscriptions, toss em a bone with arenas and battlegrounds, but that game's main focus was pve. They have 40 man raids with large reputable guilds that would obsess of nothing more than grinding out those long *** 5 hr dungeons. ok, so that's cool, to each their own right. But atleast they had that.
In Star Wars, I don't understand the concept. If on pve and pvp servers the best gear set is Battlemaster, then that means this game really is a pvp game. If that is the case, then why wasn't the game set up more for pvp quests and rewards etc. The dev team's last update they stated like they were surprised at the pvp turn out for swtor and they are putting together a strike team to start implementing more pvp content. Thing I don't understand is the game mechanics are built all around pvp, why would this be a surprise?
There seems to me should have been more rewarding pvp system already in place. Like if your faction wins enough warzones per day then there is a valor, xp or luck for rare drops buff, or faction control of planets or systems, or closed planets that are only open to the winning factions of warzones or pvp quests. More warzones than just 3, ranking system would have already been in place to have equal teams in warzones.
Anyway, I'm just wondering how different the pve servers are from the pvp servers and it doesn't look like there is that much difference.

This is a PvE game, with PvP because you need PvP to successed on the MMO world.

Any game with diverse classes and as much options as we have will allways be PvE with PvP onthe side.

This is because Real PvPrs want a truly balanced game. Wich you will only truly find in the online FPS games.

It is imposiable to balance this many classes and specs so that one will not be overpowered.

Look at WoW, how many years have they been trying to balance PvP, but still have FotM classes/specs? You just can't do it.

Is pokemon PVP or PVE?