gerr :
Why? I would think two 970's in SLI should be able to power 3 144hz 1080p monitors. Granted I doubt I would see 144 FPS often, but should be well above 60 in most games, wouldn't you think?
At that setup, 5760x1080, you are at 75% of the number of pixels as 3840x2160 (4K). Even 2560x1440 is 60% of 5760x1080. You can look at some benchmarks of dual 970s running 1440p and figure that you can expect about 60% of the frame rates that shown for those benchmarks. Example: if a game gets 100 FPS at 1440p, then the 5760x1080 setup will probably get about 60 FPS. Granted that this is not a hard rule but certainly gives a good idea of what to expect. Running dual 970s on a 4K monitor (one way I do my setup) and seeing how hard it is to even pull off 60 FPS, at least with medium to ultra settings, I would think that even 5760x1080 would be a considerable amount of work to rise over 60 FPS. Shadow of Mordor and AC Unity are examples of games that I can run on 4K but are incredibly hard on the performance if you run even medium settings. So, think of it as running at only about 25% better performance over 4K.
As far as most games, it depends on a lot of things. Most games to one person may be a totally different set of games to another. Check benchmarks for the games that you are thinking of, do the math compared to 4K and 1440p benchmarks (25% less FPS approximately from 4K and about 60% of FPS compared to 1440p)
Hope that helps put things in perspective.