Do you even play most of these demanding games? Games are just now requiring the 2000 series.
Unfortunately for me yeah the games I play require a lot of CPU power. Ive also been streaming this past week and streaming takes up a LOT of CPU power and when you couple it with an open world game like Rust where my draw distance is far, its loading a lot of shyt (trees, air fields, snow, hills, etc.) and I used to play MMOs which of course are very CPU intensive.
OBS has been warning me that my CPU is reaching its limits while streaming

while playing Rust. When I play Guild Wars 2, at least while leveling up not the same issue but im sure if I check when theres 80 people on the screen im sure my CPU (while streaming) is being pushed to the limit
edit: what some top streamers do is have a dedicated streaming computer with a basic motherboard, 16 GB ram and a good CPU (some even use intel Xeon processors cause of more cores) and then bridge it to their main gaming computer. That way when they are gaming on their main computer its not taking the huge FPS hit from streaming because its less load on the CPU.
I dont stream enough to warrant this though, even though it might not be too much more expensive than buying a new processor by itself

(only thing extra I would need is case, motherboard and RAM since onboard graphics card would work fine enough)
edit#2:

I could even buy a new processor, buy a $45 motherboard, $30 case, $30-40 psu, $120 16 GB ram a small case and put my i7-3770k in it and put the new processor in my gaming computer
