Singularity? what singularity?

I keep hearing about the singularity or as I know it the robot apocalypse. But I feel that there are three issues that have been overlooked/unaddressed by those constantly warning us of it.

1. First and foremost if you ask me is that while machines are catching up to human in their processing power.  The fact that at this current time to the best of my knowledge computer process' things in a linear fashion while the human brain is very nonlinear in its processing. Considering this with the fact that both types of processing has it's advantages. I feel that at least some A.I.s will form a symbiotic relationship with us this may range anywhere from an equal partnership to a master pet relationship. 
2. When you consider that prosthetic technologies are progressing near if not on par, with robotic technologies, and the fact that some people have already opted to implant some tech into themselves, I feel the role of cyborgs in the singularity should definitely be considered
3. Now last but definitely not least, although highly speculative is at least how I see it is that the base programing of a machine, will in my view act a lot like our instincts do after all a robot to put life above all else is unlikely to come to the same solution then one that was designed to put security first.