I would think that the 'not random' refers to natural selection, but correct me if that's not what you meant, Admiral Valdemar.
Tuppence: We see people make paintings, and we see life forms make life forms. Conclusion: Paintings are made by people, and life forms by life forms. Have you ever seen a god make a life form? No, but we do see life forms being created by life forms. So where did you get this strange and illogical idea about a god making life forms? Oh right, from christian mythology.
I don't see why it would be 'logical' to suspect a designer. (And it begs te question: where did the DISIGNER himself come from?!) Please tell me what evidence you have that there would be a designer? How would you know when something is "too complex" to arise without a deity? Where do you draw the line of complexity arising automatically? At the level of a cell perhaps? And if so, why? A stable solarsystem and the crystals of a snow flake and even vinyl alcohol that forms in interstellar space are good examples of complexity forming, without supernatural aid, from chaos. The logical conclusion would be that life itself is just matter that has formed complex structures. We are made up of the same stuff as the rest of the universe, so why would we be so different that we need a god?
I know you're not comfortable with the idea that you're a bag of predominantly water, and also share an ancestor with the chimps, but logic would suggest this.
Ever thought about it that life might not have a purpose/goal? Perhaps we are just matter influenced by chance, time, and later on some natural selection.
That doesn't necessarily mean that we can't set goals for ourself, and think about morality. We NEED (social) rules if we want to lead happy lives. I just think that WE OURSELVES should make up rules about morality, instead of clinging desperately to ancient rules that Moses carved into stone. He said they were god's, but he had to chissle them into tables himself (if the whole thing ever happened that is).
Religious people are like children that refuse to believe that Santa Claus is not real, and go to a friends house every sunday, because those parents WILL tell them He (Santa) exists. The group of Santa Believers is so big that they even started up a thing called Santa Science, which deals with the aerodynamic qualities of the flying sled and writes books about the flying reindeer, by incorporating useful bits of biology and aerodynamics.
All this, even though no one has actually seen Santa or his sled...