I have owned both consoles since their respective launches, and to me they are completely different experiences. I've found myself playing the Xbox more simply because it's on all the time (TV integration). If it's halftime during a sporting event, I can switch over to a game in a matter of seconds. I also love the snap features (being able to check my NFL fantasy scores while watching the game was great).
The PS4 is a pure gaming machine, which I can appreciate. However, until the good exclusives come out that means it's mostly collecting dust. I didn't like KZ at all, Resogun kept me entertained for awhile but was short-lived, and AC IV just didn't grab my attention (I know I need to give that game another chance though).
Since I don't play a lot of multiplatform games (COD, BF, and GTA have never really interested me), I'm glad to own both for the exclusives. Despite all the chatter on the internet about the disparities in framerates, resolution, etc, I have no concerns. Ryse is still the best-looking game I've played on either platform, and I have no doubts that developers will get better at optimizing games for the X1. A couple of developers have already said as much.
Anyhow, I've probably played more games in the last two months than I did the previous two YEARS, so I'm a happy born-again gamer.