It is more that the organization of our universe - the known one at least, implies an intelligence to me.
If you knew more about science you would not be under that illusion. You go on to show that your grasp of both maths and science is quite poor, leading you to conclusions that cannot be substantiated.
If you saw a table with a bunch of scrabble tiles arranged on it, and you read what it said, and you saw this exact paragraph written out, would it not be an absurd conclusion to propose that someone had just scattered the tiles without any thought and they happened to be arranged just so? Or would you propose that someone must have arranged them to form these sentences?
No. If I looked at trillions of Scrabble boards I would be very surprised if many different paragraphs were not written out. Maybe not this exact but this exact one but neither is this Universe the only one where a sentient being capable of reading it could have occurred.
If there are more variations on a chess board after just several moves
than there are atoms in the universe (I've heard it said - and it may
not be literally true but it is in spirit),
Not even close. There is something like 10^80 atoms in the visible Universe. This would be at least 70 orders of magnitude more than the total number of all possible chess games.
http://www.chess.com/chessopedia/view/mathematics-and-chess
The actual universe is far more complex
The Universe is incredibly simple at its basic level. Indeed even the way stars work is very very simple. The complexity we see is built up from combinations of that simplicity.
and who says it started out with this complexity anyway?
Those who claim that a designer is behind it all. The designer would have to be more complex than the design. Hence the pointlessness of proposing a designer is behind it.
All that does is move the conundrum one step further without explaining anything. One might as well say that the Universe has always existed. Indeed that is where the religious belief started with "In the beginning there was a void". Their God put stuff in that void.
In science, not even the void was here. Over the history of science there have been less and less things that required a god to explain. There is so little space left for a god now it might as well be completely abandoned.
A life form - especially a multicellular one - especially an intelligent one, is a trillion times more complex than this paragraph or any chess position. A blade of grass has far more going on than the most complicated supercomputer ever conceived of.
Yes but that complexity didn't just come about by random changes alone. It was driven by natural selection. Life is really nothing more than minerology. Mineral crystals are self replicating. The crystals of life are just very complex.
Is there a higher intelligence or is there not?
Nobody really knows now, do we? The physicists and the theologians may disagree fundamentally, but neither of them can prove their position.
Science has already shown that no higher intelligence is necessary for the Universe and everything in it to exist. Science has already completely refuted the claims made by theists about the origins. Slowly but surely, their dearly held beliefs such as the Earth being the centre have crumbled. Why should we expect any of them to endure?
And for whatever reason, believing is comforting.
By all means believe if that makes you feel comfortable. However this in no way provides the slightest evidence for the existence of a god. And it certainly does not comprise a valid basis for the religious to decree that they have a sound base to guide the development of public policy.