Nope, wrong, your kinda on track, but facing the wrong direction. Processors as we know them now are just number crunchers for us, able to manipulate numbers millions of times a second. Our brains cannot do this, nor can we ever do this... and manipulating numbers like CPU's do now will become more and more important. In this sense, computers should never become like a human brain. Also, computers can process multiple instructions already with almost no performance loss, we have trouble driving and talking...
However, in the field of robotics, neural networking, and AI, then yes, the processors should be like a human brain, able to make decisions given a set of circumstances. However, this would be a completely different processor than what we use for scientific or server work. Whether we will make chips this complicated is an ethical issue, but that would be the ultimate goal of robotics and AI to make a chip very similar to the human brain.
Now, a robot might be able to have both kinds of processors, a number crunching one and a decision making one (the decision making could also be software implemented, but I don't even want to go into that grey area...) so it process as fast as a true computer while still being able to go outside the boundaries of it's programming (ethical issue yet again)...
Meh... ain't gonna happen for a long time, and when robots end up taking over the world, I better be long dead...