Yeah, if you are actually going to play new games, then you'll get something out of the greater expenditure. With your budget I just recommend getting awesome parts and making a beastly machine that you can use for years. You can post your parts here and ask people to comment on them (for example if you picked the wrong ram, etc).
I recommend Intel i7 (the i5 will do you though) and Nvidia graphics card. Other people like AMD. Don't get any dual SLI stuff it's not cost effective. I recommend against overclocking because it's a hassle and your parts will wear out sooner, and you won't truly notice the extra speed, it's more of a hobbyist thing for people to feel cool (sry overclockers no offense lol). I mean, leave the overclocking to the overclockers who enjoy that stuff. (I'm sure that attitude of mine is making me miss out on an extra 500mhz that I would never notice...)
Definitely get an SSD, probably 256 gigs for C, a 1tb regular speed drive for D, and a slow 2 or 3 or 4 TB green drive for storage. Then you can do your main stuff on C (games, the main video you are editing this week) and secondary stuff on D (games you play less often and don't mind it loading a little bit slower). The green drive is for storing large videos and stuff. It's completely worth it to get the slower bigger drive, because if you try to get a normal speed drive it's way more expensive for virtually no benefit. (well, come to think of it, don't buy the green drive till some day when you run out of space and need it)
Get a good quality Power Supply with modular cables. Don't just look at the wattage number. Get a nice big case that's easy to work with like a HAF or a nzxt.
Consider not buying a 3rd party cpu cooler since I think the stock ones are fine if you aren't overclocking. The lower end coolers are not any sturdier than the stock cooler.
Also if I was spending that much, I would get a blu-ray burner. With your monitor, pay attention to what inputs it has on there (hdmi, dvi, etc) I would buy the monitor at a place like Best Buy because the price is just as good and they have better return policies. Don't buy a sound card, just wait and see if the onboard sound is good enough which it really might be.
Edited by bludshot, 10 May 2014 - 09:57 PM.