The performance of amd in dolphin has come a long way when I got the fx 8350 when it first came out a lot of the games where pretty much almost unplayable but now my friend says he runs everything at full speeds. With a 960 you shouldn't see any performance issues when using the fx 8350, there are some games that just don't like amd cpu's but it's becoming increasingly hard to find those types of games unless you start playing older titles.
Intel i5-4690k @ 4.6 GHz | Gigabyte GTX 970 4GB G1 | 8 GB DDR3 @ 1600 MHz | Windows 10 TP | Dolphin 4.0-6811