I am afraid you are not the only one with this problem, this is global.
There is, to put it sinply, 2 to 3 times more Empire players than Republic players.
When my guild checked our assigned players it was around 2900 Empire to 950 Republic.
So just to let you know, you will not get any competitive numbers on Republic side on ANY server, unless some major guilds decide to re-roll factions.
I'm not looking for even numbers. What I'm requesting is people of the same ****** mentality all play on the same server as us because that is going to make things more fun for everyone.
Competition is one of the driving reasons that PvPers play these games. Playing with like-minded people will go a long way to helping us all stay interested for a long time to come.