The intel build
1. has a better RAID option. Intel RAID controller typically will allow you to move a older intel raid to a newer chipset without any trouble. Also you can benefit from there RST tech which allows you to set a small SSD to cache a HDD.
2. Better CPU performance. CPU intensive task typically are better on the 4470 vs AMD 8350. Very few programs are multithreaded well enough to give the 8 core AMD a advantage over the 4 core (plus 4 virtual core) Intel CPU.
3. The build isn't perfect. Ditch windows 7 Ult and get windows 8 standard. Put the money saved into a Cooler Master EVO CPU cooler. And unless your doing some serious overclocking ditch the mobo for a cheaper unit. like the Gigabyte Here http://www.newegg.com/Product/Product.aspx?Item=N82E168...
YOu can also cut a bit of cost by getting 8GB of ram on 2 sticks. 16 is way overkill.
The AMD build will be a better gaming build on account of having the faster GPU. It will also run quieter thanks to having a better CPU cooler. Not much else to say about it really. Mybe ditch win 7 for 8 but that's more of a personal call.