i7-4790K
As said, you'd have to add a lot for motherboard, RAM, OS as well as REINSTALLING everything.
Most games will probably have less than 10% benefit to a much faster CPU. Some games, like FALLOUT 4 (old engine at core) are really CPU limited->
http://www.gamersnexus.net/game-bench/2182-fallout-4-cpu-benchmark-huge-performance-difference
Eyeballing the 1440p graph suggests you'd go to about 83FPS instead of about 60FPS (though it will help with dips too because you'd likely lock this particular game to 60FPS).
DX12?
There was some indication that an i5-4460 would be plenty, however it's starting to look like some future games will still take whatever CPU they can get. So the i7-4790K is likely to justify itself over the next few years.
Quick spec diff:
i5-4460-> 3.4GHz Max Turbo (no HT)
i7-4790K-> 4.4GHz Max Turbo (HT)
I'll check, but I'd estimate up to as high as 75% more performance POTENTIAL, though in many games it will gain you little.
*Just FYI, but even when a game appears to be 60FPS according to FRAPS or similar tool, it can in fact be much lower and the better CPU may help. It has to do with these apps recording the FRAME long before it's actually drawn (when requested, after that you have the API like DX, driver, and drawing on GPU etc).
A CPU being too slow is one reason why a game which should be stable, and SHOWS as stable is NOT stable. Also why they use FRAME TIME analysis now and not just FRAME RATE.
PASSMARK isn't a measure of game performance per say, but it's useful to compare SINGLE and TOTAL potential performance.
i5-4460
https://www.cpubenchmark.net/cpu.php?cpu=intel+core+i5-4460+%40+3.20ghz&id=2230
i7-4790K
https://www.cpubenchmark.net/cpu.php?cpu=Intel+Core+i7-4790K+%40+4.00GHz
The roughly 30% faster per core is the main advantage you have for CPU-bottlenecked games currently.
69% is the how much more processing that i7 has, so my guess of 75% is pretty close. PASSMARK isn't perfect either.