4K is definitely noticable and useful. I use 4K every day in my software development and IT work. Being able to have 4 1080p screens at once is very useful. (1 VM, 2 RDP, and my desktop, for example.)
4K is also really pretty for 3-D games. I even played old games like Deus Ex at 4K. You don't need anti-aliasing when you have 4K.
Anyone who says "4K doesn't matter" is blind or stubborn. (And my eyes SUCK.) What really matters is DPI.
1080p on a laptop is too much without high-dpi scaling.
1080p on a 22" screen is perfect.
1080p on a 55" screen makes your eyes bleed (at desktop-length away from the screen).
I got a bonus (first ever!) at my job and I spent it all toward a "entry level" Samsung 4K 55" TV. It takes awhile to get used to the DPI and screen area (more than you can actually see at once if you sit only 2-3 feet away). But it's super fun. I have to set the FOV to ~110 degrees or higher and games FEEL much more immersive. Like having 3-D glasses without the glasses. (Though, obviously NOT AS GOOD as true stereo + point-of-view where mountains actually feel real.)
ALSO, the first 4K movie we watched, The Jungle Book, was MIND BLOWING. It's on Netflix (and we have the 4K netflix option) and certain scenes forced me to PAUSE it. Why? Because for the first time, certain scenes, FELT REAL. Certain structures, certain mountains, they had enough texture to confuse my mind and feel like I was flying as the helicopter-mounted camera zoomed around.
As for the GTX 1060, it won't run >60 FPS for many modern games. But it runs a great deal of games at "less than maximum" detail, and any game only a couple years old runs at full detail. And again, you don't NEED anti-aliasing anymore because it already looks crisp as hell.
Hardest part about telling people about better graphics is... they can't see it unless they own the hardware...
I'm told The Witcher 3 in 4K is downright gorgeous. I own it but I'm saving it for a time when I can binge it.
 If you get a 4K screen MAKE SURE YOU GET one that can run at 60 FPS at 4K. Some only run 30 FPS. ALSO, your HDMI cable has to be a large enough (low enough) AWG (american wire gauge). Like 28 or smaller ("thicker"). I bought "4K ready" cables and they were all crap. I had to go by wire gauge. Amazon has them for cheap too. Otherwise, you'll be stuck in 4:2:0 mode which halves the horizontal resolution for color which will turn all text unreadable. That's very frustrating when you spend a crap ton of money, get the stuff home, plug it in, and then fiddle for days trying to FIND the problem, and then wait another few days for the cable to show up in the mail. "But I want to play with my new toy NNNNoowww!!!"