> The most striking characteristic of a randomly designed
> system is that you cannot restart it. Once you shut it off
> it dies permanently.
I don't see how that is a consequence of the underlying design principle. There are many organisms that survive de-facto death through freezing etc. You could also engineer machines to not be restartable, and under certain circumstances that may be a desirable feature. There's no connection between what you call rational or irrational design and restarting.
Moreover, there are natural mechanisms with "sensible" design. To me, the mammalian retina is very carefully calibrated, perfectly understandable machinery implementing various filters and feature extraction networks. Examples abound.