Until they start to make consoles compatible with DisplayPort monitors, I can't see the higher framerates than 60 fps being supported. That said, unless you are a regular PC gamer that does use a high refresh rate DP 1.2 monitor (like a 144 Hz), as mentioned above, it really shouldn't be an issue. I use my PC for gaming a lot but I only have it hooked up to my TV (60Hz), so there really isn't much of an adjustment going back to console (although it does feel a tad slower, I guess).
That said, there is no way in bat's crazy hell you can currently support 4k at 60 fps on a console. Even the current cards (Titan X and 1080 ti) can't consistently hit 60 fps on 4k (unless you have SLI) with PC, and those cards are more expensive than the consoles themselves. It'll have to be one or the other. I'd prefer 1080p @ 60 fps just because there really is no ****ing need for 4k on consoles currently. Like, unless you have a big ass TV (60"+) and sit within 5 feet of it, you probably won't notice much. And don't even get me started on 1440p. It's still not very cheap and it's a microscopic difference unless, again, you have an even bigger ass TV and are sitting even closer to it. It would just be trying to do both and ending up doing neither.
That said, I just hope there's a hell of a lot more depth than the first Destiny did. It just feels like wasted potential. Not nearly as much of a waste of potential as No Man's Sky was, but still. It felt like so much more could be done. Instead, it just felt like a Borderlands game with raids and PvP, but with a garbage story. The raids were fun af, but a lot more things to do would be much appreciated.