Here's my rig, and I still get heavy framedrops, especially in hyperspace, supercruise and around some planets.
Motherboard: ASUS Rampage V Extreme
CPU: Intel Core i7 Extreme Edition 8-core (16 threads) 5960X@4.2GHz
GFX: ASUS GTX980-4GD5 - 4 GB GDDR5
RAM: 8x4GB Corsair Vengeance LPX - DDR4 - 2666 MHz
Samsung 840 EVO 250GB SSD
Noctua NH-D15 CPU Cooler
XFX 750W xxx Edition PSU
Fractal Design Define XL R2 black cabinet
3 x Asus VN247H 23.6" monitors
Windows 8.1
I think it's more a problem with the game than it's underpowered hardware.
Edit: In my experience, it's wiser to get a better graphics card than a better CPU. CPU is rarely bottlenecking a game.
Your frame drops are most likely a consequence of your triple monitors.
Get rid of those things and plug in a single, 15 inch cathode ray tube bad-boy that's around 15 years old and you will notice no frame drops ever again.
However the problem could also equally be something to do with that case.