Does this help you?
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Yes. Thank you. That confirms my understanding.
I've tried to read this stuff carefully with a layman's insight and the non-directed nature of mutation is a very key point. That's why I was surprised and followed up when I was told I was wrong about it.
It might help you to vett these arguments if you realize that random distributions come in flavors. UNIFORMLY random genetic variation (which we probably don't have, but I'll grant you for argument's sake) Produces what statisticians call a uniform distribution (which is what I suspect you are erroneously picturing when you say random about genetic issues): any possible variation is just as likely as any other. After some winnowing function is applied to the resulting population, the distribution is no longer uniform. The selection pressure will shape the resulting population so that it is no longer uniformly distributed: if the pressure was of a uniform, linear nature, the result will be shaped curve, usually called a bell curve by statisticians, and a gaussian distribution by more serious math honks. If, then, the environment gradually changes in some direction--what do you think that will do to the creatures in the environment?
So...the unsuprising upshot of this is that environmental pressure shapes the creatures in the environment in directions favorable to surviving that environment, without any necessity to envoke an intelligent designer.