I disagree, with Intel. Video editing is highly threaded, and Hyper threading is not as good as a Piledriver 8 core. Note, I said AMD Piledriver, not bulldozer. So here is my Opinion.
As for gaming, many people have been done in by marketing. Here is the truth, when it comes to D3D/DX 11 or higher, Intel does not perform better than AMD at resolutions 1080p or below, and if it does it is very negligible I mean like only 2% diference, but, in video editing, yes there is much more disparity in favor of AMD's Piledriver. If you game in older versions of Direct X or, you game at resolutions higher than 1080 and every last frame is a priority then go with Intel. Otherwise, for what you want, the FX chip is best.
PCPartPicker part list:
http://pcpartpicker.com/p/EsMj
Price breakdown by merchant: http://pcpartpicker.com/p/EsMj/by_merchant/
Benchmarks: http://pcpartpicker.com/p/EsMj/benchmarks/
CPU: AMD FX-8350 4.0GHz 8-Core Processor ($194.15 @ Amazon)
CPU Cooler: Noctua NH-D14 65.0 CFM CPU Cooler ($80.31 @ Amazon)
Motherboard: Asus M5A99X EVO R2.0 ATX AM3+ Motherboard ($119.98 @ SuperBiiz)
Memory: G.Skill Ripjaws Z Series 16GB (2 x 8GB) DDR3-2133 Memory ($106.25 @ Newegg)
Video Card: Gigabyte Radeon HD 7950 3GB Video Card ($297.98 @ SuperBiiz)
Case: Rosewill CHALLENGER ATX Mid Tower Case ($49.99 @ Amazon)
Power Supply: Rosewill Capstone 650W 80 PLUS Gold Certified ATX12V / EPS12V Power Supply ($74.99 @ Newegg)
Operating System: Microsoft Windows 7 Professional SP1 (OEM) (64-bit) ($119.00 @ Amazon)
Monitor: Asus VS247H-P 23.6" Monitor ($159.99 @ Newegg)
Keyboard: Logitech 920-003693 Wired Standard Keyboard w/Optical Mouse ($15.98 @ Outlet PC)
Speakers: Creative Labs Inspire T3130 25W 2.1ch Speakers ($40.47 @ Amazon)
Total: $1259.09
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2013-02-18 22:56 EST-0500)
I went with the pricier Noctua air cooler because those 8 core's heat up a bit more than an Intel would. I have 2 PC's one with an FX 8350 and one with the 2500k in my sig.