The i5 would easily outperform the FX 8350 in the games you've listed.
Streaming adds an overhead of CPU work. The 8350 tends to perform better in streaming due to the higher number of cores available that aren't being utilised by the game. However, the 8350 has worse performance in the games, as it has more cores than the i5 but they are also weaker.
I'd expect the i5 to outperform the 8350 when just playing the game, and continue to do so even when streaming. I expect the performance to difference to be large enough when just playing the game for the streaming to not make enough impact to drop it to the 8350's performance.