Robotic human augmentation, yes; pseudo-cybernetics, probably; true machine-brain interface, almost certainly not
As pointed out by other users, any answer to this question is necessarily speculative. We can't know for certain in what direction technology will progress. That said, there is something that I don't think anyone else has considered yet: the difference between the hardware side of robotics and the software side of robotics.
Mechanical robotic technology has been advancing very rapidly in the last few years. We have everything from robotic dog/deer things to literal mech suits that can fight each other. We are building robots that range in size from cars and airplanes all the way down to golf balls and paper clips. My point is, from the mechanical perspective, I think human augmentation via robotic implants or assistance is very possible by 2060. In a way, we have even have cybernetic technology already.
However, there is another side to robotics: the software. Take, for example, DARPA's Atlas Robot project. Its come a long way, but when it was first launched it was a miracle of mechanical technology...with nearly no software to drive it. Its taken years of dedicated programming by dozens of programming teams to develop the software needed for it to do even simple things.
Now, take into account the complexity of the human brain. Right now we have huge amounts of trouble integrating Windows and Unix systems, and both of those are running on more-or-less the same hardware and both pieces of software were written (and documented) by people. The mind is orders of magnitude more complex, is completely alien when compared to our computer systems, and the universe didn't see fit to give us an instruction manual for it.
Let me put it another way:
I think that very soon we will have mechanical technology that is precise enough to be grafted into the human body; I think that very soon we will be able to build machines that can respond to nerve impulses; I think that very soon we will even have technology that will let us interface directly with the human mind. However, I think we are still very, very far away from understanding the output we get from the brain, let alone turning that into useful signals that can command computers and robots.