Overall, in games that are CPU dependent, Intel CPUs will provide better performance than AMD CPUs. At the end of my comment section are benchmarks for Metro: Last Light and Hitman: Absolution.
The Intel i5-3350p runs at 3.3GHz, however, the closest match in the benchmarks is the i5-3470 which runs at 3.2GHz; 100MHz slower. The benchmarks for Metro Last Light shows that the game favors Intel. I will note that graphics card being used is a nVidia Titan. The FX-6350 running at 3.9GHz gets 65FPS as opposed to 68FPS for the i5-3470. The i5-3350p will likely achieve 69FPS. While the Intel CPU does better, it is only about a 6% improvement in performance, therefore by the numbers Intel is better.
However from an actual gaming perspective, most people have 60Hz monitor which means your actual FPS is capped at 60FPS. However, most people will not have a nVidia Titan graphics card (at least I don't and I don't plan to buy one either). Let assume you have a less powerful card that will give you 40 FPS with the FX-6350. Assuming the approximate 6% performance advantage for Intel, the i5-3350p will likely give you about 42.5FPS. Not too big of a visual difference.
Let's move on to Hitman: Absolution which uses a Radeon HD 7970. Unfortunately neither the FX-6350 or the Intel i5-3350p is part of the benchmarks. Therefore, let's just use the FX-8350 @ 4.0GHz and the i5-3470 @ 3.2GHz as substitutes. The FX-8350 is only 100MHz faster than the FX-6350. Additionally, Hitman does not use more than 4 cores so the using a 6 core or 8 core AMD CPU doesn't really matter for this analysis. The FX-8350 gets 50 FPS, so the slightly slower FX-6350 will likely be able to achieve 49 FPS. The i5-3470 can get 58 FPS, so the slightly faster i5-3350p should be able get to 59 FPS. In this particular game, the increase in performance is pretty substantial; going from 49 FPS to 59 FPS is slightly more than a 20% gain in performance. While Metro: Last Light is more or less a toss up between AMD or Intel (because of only a 6% advantage for Intel), the case is clearly different when talking about Hitman.
Since I am currently playing Skyrim, I will definitely say that Skyrim favors Intel CPUs more than AMD CPUs. The chart at the bottom clearly shows Intel's advantage. The review was written before Piledriver and Ivy Bridge were released so there's no surprise they are not present. Simply look at the performance for AMD's FX-8150 / Phenom II X4 980 compared to Intel's i5-2500K.
However, it is not all doom and gloom for AMD CPUs because most games are not as CPU dependent like Hitman and Skyrim. Metro: Last Light kinda falls into that category because a 6% advantage is relatively small. BioShock Infinite is a game that simply does not care what CPU you have as long as it does not botteneck the GPU. I would say a large number of games are like BioShock where the CPU will not make much of a difference in performance.
The one advantage that the AMD's FX-3650 has over the i5-3350p is the ability to overclock. The i5-3350p is locked. Overclocking should help narrow the performance gap in Hitman and Skyrim, but even if the FX-3650 is OC'ed from 3.9GHz to 4.6GHz (naturally higher is generally better) I would say Intel will still have a small (but relatively negligible) advantage in those games. As for Metro Last Light and BioShock, OC'ing should have little overall impact for Metro, and absolutely no difference in BioShock.
In the end I would choose the i5-3350p simply because you do not need to bother OC'ing for better performance since you cannot do it anyway. Overall performance is high in games and can only be matched with an overclocked AMD CPU. The difference come down to price of the CPU + motherboard. I didn't bother checking on prices, but I am pretty sure the FX-6350 is a bit cheaper than the i5-3350p. However, on the motherboard side a mobo for the i5-3350p is probably cheaper than a mobo for the FX-6350. Generally speaking, mobos that are capable overclocking are a little to a lot more expensive compared to a mobo that does not allow you to OC.
The i5-3350p combo will still likely cost a bit more. However, taking into consideration RAM should further lower the actual price difference. The i5-3350p only needs DDR3 1600MHz which is in general cheaper than DDR3 2133MHz RAM used to overclock AMD's CPUs.
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http://www.techspot.com/review/670-metro-last-light-performance/page6.html
http://www.techspot.com/review/608-hitman-absolution-performance-benchmarks/page6.html
http://www.techspot.com/review/467-skyrim-performance/page7.html
http://www.techspot.com/review/655-bioshock-infinite-performance/page5.html