I used to play Arma 3 breaking point multiplayer (day z clone sort of) with a Phenom x6 1055t at 3.5ghz and a hd 7870hz which is equal to your 270x. Arma games are very poorly optimized and are really only using 1-2 cores heavily. What are you trying to play at in terms of settings? I believe I used the 1080p "very high" or "high" preset and it still looked good. I was getting ~60fps or at the worst 45fps in the wild and in cities about 30 or at worst about 25fps, it felt a little slower but it wasn't unplayable.
There are people with i7s which complained of bad performance, so I very much doubt a cpu under 100 would improve your performance. I'd suggest try tweaking settings or even look up Arma 3 multiplayer AMD cpu tweaks, there were a few launch parameters I toyed around with in steam to make the game supposedly use all 6 cores, not sure if it really worked it not
I used a rather low end msi 760g motherboard so I doubt that's it. Do you know which motherboard exactly you have?
http://www.battleguns.net/forum/m/7737561/viewthread/6153624-arma-3-cpu-optimization-low-fps-fix
also do you have enough ram? I'd highly suggest getting 8gb ram if you don't have that already.
I didn't get the most FPS in the world in poorly optimized Arma 3 multiplayer with my Phenom x6, but it was certainly still fun and playable. In a tactical slower paced shooter like Arma a lower fps than usual in games isn't the end of the world that most pc gamers would think.
If you absolutely must have closer to 60fps, you're going to need a high clocked i5 cpu or even an i7, no real getting around that. Sad that the devs can't/won't optimize their game to use modern cpu's with more than 2 cores.
Made me shake my head, because....how long has Arma 3 been out for....3 years now or something? I think the engine as a whole is just buggy and unoptimized, even the DayZ standalone gets horrible fps drops on my much stronger per core i5 3570k pc.