Everybody knows that the living systems are too complicated,
Such is the result of a blind process like evolution. You will produce unwanted complexity with such a system instead of the effecient simplicity expected from design processes.
I have always thought that random mutations followed by natural selection are too slow a process to create such complicated biological phenomenon in the given time period as we see.
The next step is to actually demonstrate that it is too slow. However, the math really doesn't support you on this one. Let's use humans and chimps as our model here.
"Despite the many similarities found between human and chimp genomes, the researchers emphasized that important differences exist between the two species. About 35 million DNA base pairs differ between the shared portions of the two genomes, each of which, like most mammalian genomes, contains about 3 billion base pairs."
http://www.genome.gov/15515096
We also observe that each human is born with between 50 and 100 mutations, so let's go with the lower 50 number. Let's also use a constant population of 100,000 individuals, 5 million years since common ancestry, and 25 year generation time. These are probably the more conservative values for each. My calculator tells me that there were about 1 trillion, or 1E12, mutations in that time. We are only separated by 35 million mutations. That is just 0.0035% of all mutations that did occur, using this simple model. I would say that evolution is plenty fast enough to produce the divergence we see at the DNA level.
However, I suppose that in addition to the known mechanisms, some very crucial other mechanisms might be operating to guide the wheel of evolution.
What evidence do you have for this mechanism?
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