To the OP,
If budget is not a problem, then you need to give us at least some info about the rest of the config, Since we could even recommend you building a supercomputer out of Tesla/xeons to play at, say 2560p.... (assuming you are somehow related to some Gates/Jobs)
But since you need a recommendation, here it is,
If you are gaming at 1080p with a high-end card (GTX 7**/HD7990/ X fire) then you could go with 2 setups,
AMD 8350 + 970 extreme 3 (or 990fx if you plan to X fire) + hyper 212X + SSD + better casing + 8 gigs of 1800mhz ram
Intel i5 4560k + h87/z87 (depending whether you'll OC or not) + water cooler + SSD + fairly medium casing + 8 gigs ram (even 1600mhz will do)
*Water cooler, because haswell's heat up more than IVY and/or AMD's other offerings in comparable scenarios.
Both processors are the same. Its just how you plan to use your rig.
This is what I did, I upgraded from Intel (Core2Duo) to AMD 8350 + 970 extreme 3 and invested heavily on the other components instead (Better monitor, SSD, Rams, Cooler, GPU, etc.). This way I play all the current games happily on 1080p. (~50 watts more power is no big deal for me, since I have a separate entertainment/download hub and i don't game for more than a few hours at a stretch) and you can save a few bucks initially (In the long run, it doesn't make any difference).
Now, until there comes a CPU that offers at least 50-70% more performance than 8350, I do not plan to upgrade.
BTW, even 8350's single threaded performance is quite good( of course Intel is superior in comparison but it doesn't matter that much). Don't entirely rely on these benchmarks. You are never going to utilize 100% of your CPU all the time.
This is coming from a person that does scientific computing and compiling software's on Linux to make his living. (I also play multiple MMORPG's at ultra @1080p ~40-50 deg Celsius)
BTW, Intel is no doubt better in heavy, single-threaded workloads (like single threaded games, animation, encoding softwares) but from what I have observed they are charging wayy too much for not so huge difference in performance. And even the motherboard manufacturers don't seem to shy away from practicing the same.
BTW, one last thing, some haswell-based motherboards (though costly) have much better feature set than a top-of-the-line AMD chipset.
So, weigh in your options, find what is the sweet spot for you, make up your mind and just go ahead with it.
May the Force be with You,