At some point, it'll make the difference, but it'll take the Xbone a while to catch up (if ever).
PS4 is $400, Xbone is $350. Kid wants new console for Xmas, Black Friday is coming, parents wander into the shop and buy the cheaper one... Neither console has a system-seller game yet, but the Xbone has more decent enough exclusives at this point in the life cycle. Could it make a difference? I don't know. MS have been showing their strengths again compared with the traditional Sony weaknesses (the OS updates and the backbone of the network), but will it ever be enough to get past that point of "Yeah, but the PS4 is cooler than the Xbone!"?
A lot of the people who really gave a crap about the Xbone launch shambles have made their choice, and bought their console now. The majority of gamers don't care about 1080/60 vs 1080/30 vs 900/30 vs whatever, and they're going to start buying the console that either their mates have (PS4) or that offers them access to CoD in the cheapest way (Xbone) or that has more AAA exclusives (arguably Xbone at this point). At the moment Sony is very much sitting back and letting the wave of popularity carry them and MS are having to work ridiculously hard to catch up (I can only imagine the loss they're making on every console!), but at some point the consoles will reach parity to the point you cannot notice any difference. The PC Master Race are the ones making the biggest noises about the weakness of the current range of consoles: Those of us that have them really don't care, we just want some more games to play on them!
Both systems are really lacking that one AAA+ game that will have them flying out of the doors. Titanfall wasn't it, Driveclub certainly isn't. Halo 5 is over a year away and lord knows where GT7 is. Whilst I'm personally enjoying the games so far, I've not played anything that's blown my socks off. If The Order 1886 is any good then I might pick a PS4 up for that, but it's a way off right now.