Looks pretty good. The GTX 1070 will handle both 1080p and 1440p extremely well. It will blow the PS4 away, basically. Even with a GTX 1060 that would be very much true, so if you're willing to sacrifice a bit of performance and/or fidelity in especially 1440p that would be a way to save quite a bit of money. Basically, if you really want a high-end system then obviously the 1070 (or for really high-end 1080) is the way to go, but if you can accept a bit lower performance then the 1060 is a better deal money-wise.
For longevity the better choice might be to go for a i5 6600K CPU (no cooler included, and Z170 motherboard required for OC) and maybe 16 GB RAM (not quite as important IMO), and you'd still save money compared to a a 1070-build with the i5 6500 and 8 GB RAM. It'd hurt your performance today, but let's say you decide to buy a new GPU in a couple of years. The i5 6500 with 8 GB RAM is very solid today, but with a new GPU you may feel the urge to change those parts as well in order to keep those on a somewhat equal level and not bottleneck anything. With a i5 6600K however you can just overclock and it will keep up very well. The 6600K also has a slightly higher base- and boost clock compared to the i5 6500, so even if you don't dabble with OC it's a little bit better. Then again, I just built a system with a i5 6500 and 8 GB RAM, so maybe I'm not the one to say anything about that, but I'm on a tight budget and I'm pairing it up with a 1060 because I'm incredibly pleased with great 1080p gaming. Overall it's just what you're after, and since you said 1440p gaming then the 1070 is a great choice, but longevity is also a factor so there's a lot of things to weigh in.
I don't know what PSU that is, but that part is also something worth spending a bit extra on to be able to keep for a long time (usually with longer warranty as well, so that's good). 600W is more than adequate, especially with a non-K processor, but there's more to it than that. Quality parts in the PSU will make it last longer without breaking, be more efficient and generally might be quieter and cooler. I learned that the hard way as I bought a cheap PSU at first, but regretted it shortly after and ordered a better one (the EVGA G2). It feels nice to know you'll have something really solid and trustworthy to steer the ship for a long time.
Another thing to consider of course is SSD. It may not improve your gaming that much (apart from load times), and there's nothing wrong with a HDD if you have a lot of files, but keeping your OS and programs on a SSD will really be beneficial for the speed of the PC for just about everything apart from the gaming performance itself. It will cost you extra (though not necessarily that much if you go for a cheaper 120 GB model), but personally I think the difference in speed when starting up programs or just basic things like how fast you can turn on and off the computer is very much worth it; it's like night and day and I could never go back.
