You will always get mixed answers. That's for sure. Mostly because "bottleneck" is a wide term and cannot be tested for sure. Only comparable thing for this CPU is if you clock it to 3,3 (on 3,0 will run with stock cooler) and run passmark you'll get same results as new i3-3220 which is base for lot a PC's these days and lot of people have put 7850 or simillar GPU's with that CPU. The main difference between those i3 CPU's and your's is that your one is quad core and i3's just act as quad cores sometimes due to HT tech.
Right question is will you get same results as in brand new computer with this video card: Answer is no (due to RAM, PCI-e older etc.)
Next question is will you get same results if you buy 7850 or something weaker: Answer is no (7850 will perform better with your system)
I have used friends 480GTX (old monster) with mine Q6600 @3.0GHz 8GB ram @800 MHz and played even Crysis with 1920*1080 without AA. FPS (25-30)
He has 1600MHz DDR3, and i5 2500K (his CPU vs mine is like 2 times on passmark). Same results (he has like 2 fps more).
So bottleneck is very, very relative.
Just to clarify, it would be better to wait and buy all together (that's what i always do), but 7850 will perform in your system and that's certain.
In unoptimized games like Assassins creed 3 you'll get weaker results, but that's because this game has bug and uses only 1 core @100% in Boston and other cores are like 20% used. GPU stays at 40% usage, and guess what i was told when asked about that game? Bottleneck for sure, CPU too weak. Then guy came with i7 and 7970 radeon and got same usage, and 5 fps more than me, and lot of people came back with same problems. I've had HD4850 by the way in PC that time.
That's my opinion.