Ya that's not a problem. Some people actually use a small secondary PC for recording using a capture card to remove any performance impact from recording.
Ya get the i7-4770(K if you've got the mobo) That should let you record most all games as at 60FPS so long as your GPU can display that many. (should be good on most games there too depending on settings)
thats not recording but i did testing and wen i do record i get aroung 30-50 fps still on high settings
You aren't losing too much with recording as is now. You are a bit more GPU limited at the moment though if your goal is a constant 60FPS. Of course a change to something like a 970/980 would push your limits back to the CPU.