I would like to humbly disagree with some of the other answers. While it is true that a G4560 build would be light years ahead in terms of tech and future upgradeability it would be substantially more than $120 to implement. Meanwhile the upgrade to the QX9650 has immediate, noticeable advantages.
Point 1: (per jaslion) Also a pentium g4560 + cheap b250 motherboard and 8gb of ram is around 120$ and that thing just wipes the core 2 quads.
Using pcpartspicker I see this build at closer to $185 (https://pcpartpicker.com/list/p74pNN)
CPU $75
Motherboard $47
RAM (1 8GB PC2133) $50
CPU Cooler $9
Thermal Paste $3
Total w/Tax and Shipping 185.39
After all that, CPUMark Score 5307
https://www.cpubenchmark.net/cpu.php?cpu=Intel+Pentium+G4560+%40+3.50GHz&id=2925
The CPU cooler and paste is a must as the Socket 775 cooler is unlikely to fit an 1151 CPU.
Point 2: (Me) The upgrade to the QX9650 has immediate, noticeable advantages.
CPU $77
CPU Cooler $20ish (optional)
The advantages are not having to purchase a new Motherboard and RAM. Without knowing specs I would guess you have ~4gb of DDR2-800 RAM. SATA2 3GB/sec drive controllers, and a PCI-Express 1.1 bus for the graphics card. The PCI-Express bus is not slowing you down appreciably as the bandwidth of even 1.1 is more than adequate for your HD6850. The DDR2-800 RAM is about 3 times slower than new ddr4 (800/2133) and the QX9650 does not have a built-in memory controller instead it is a chip on the motherboard, so the RAM is definitely slower. Even so, DDR2-800 is dang fast and yours is already paid for! SATA 2 has 1/2 the bandwidth of SATA 3 however, your current HD is unlikely to be Faster than SATA 2, so SATA 3 does you no good unless you buy a new drive/drives, again price of new build rises.
Point3: Why the QX9650 instead of the 9550?
http://www.cpubenchmark.net/compare.php?cmp%5B%5D=1040&cmp%5B%5D=1047&cmp%5B%5D=1031
As the above comparison shows, your current CPU benches out about 2829, the Q9550 about 3637 and the QX9650 about 4246. The QX9650 however has an unlocked multiplier and If you invest $20ish in a better than stock tower CPU cooler you can Overclock it up to 3.5ghz just by upping the CPU multiplier in the BIOS and possibly adding .5mv in the CPU voltage adjust. then you are more in the range of:
http://www.cpubenchmark.net/overclocked_cpus.html Intel Core2 Extreme X9650 @ 3.00GHz 5,268
Now I will leave logic aside, having an Extreme Processor is cool, even a 10 year old one. mabye %1 of people have ever had an Intel Extreme CPU, come join the club. I have had my QX9650 to 3.75ghz on air though I backed it off to 3.5 just to have some margin, it is quite snappy. This is the 775 end of the line, your next CPU and mine will need to be i3, i5,i7 based but for now I think you would find the QX very adequate.
Good Luck and Good Gaming!