I fear that your target is a little to ambitious.
Most games are only single and lightly threaded so SB-E won't play better than SB and IB-E won't be better than IB unless you are also multi-tasking. 3D and Eyefinity make little difference, the increased load is mostly just on the GPU side. The i7-3820 should suffice just as well as the more expensive models in gaming, especially if it is overclocked somewhat.
For 3D 1080p you need something like a Radeon 7970/6990/GTX 590. If you are doing 3D Eyefinity, well then you would need something like four GTX 580s or three 7970s. Unfortunately, 7970/7950 Crossfire is not working much right now so it's a no-go despite it having marginally better value than GTX 580s.
I have to say, if this is your goal then there isn't much you can do unless you plan on a resolution smaller than 5760x1080.
However, being willing to spend that much, I suggest you wait until IB-E if possible. Unfortunately, that is at least a year away and that is just too long to wait for stuff, unless you are VERY patient.
I'm not sure if eyefinity 3D can be done, within reason. If you really want it, then you might be able to get away with an i7-3820 and only a dual 3D monitor setup and dual GTX 590 6GB/Radeon 69908GB, but with a setup like what you're planning on, I'm afraid I'm reduced to just guessing at what you need, if it's possible.
If you only want a dual monitor setup here, then I can see this being doable and fairly easy... However, I don't think current graphics cards, no matter what you do, are really capable of three 1080p monitors in Eyefinity 5760x1080 at 3D. Remember, a 6990 and GTX 590 and 7970 are about what you should have for 3D 1080p in Metro 2033 and BF3, going dual monitor would need twice as much power, dual 6990 or dual 590 or dual 7970 (not working yet). Going to three 3D 1080p monitors would need something like three 7970s. (not working). You might be able to get away with four GTX 580s, but probably not, at least not without a significant overclock on each card and it is my understanding that it is a lot more difficult to overclock cards when you have more than one.
I can't even guess as to how much VRAM you need, but 3 or 4GB per GPU would probably be a minimum you can work with.
Until Kepler comes out and beats AMD and/or 7970 crossfire support is fixed, there doesn't seem to be a way to have 3D Eyefinity at 5760x1080. If I was wrong when I assumed that this was your goal, then I apologize.
To be honest, you are looking at something that is a little out of my comfort zone fore this stuff, but I think I did the math properly. Does this help?