Bob,
The short answer is: no camera can do what you are asking.
You are the photographer, not the camera. You don't have to know every intimate detail on how a camera works, any more than you have to know every intimate detail on how a car works in order to drive one.
But in order to drive a car you do have to learn the basic rules of the road and the basic functionality of a car. The more you want a car to do, the more you'll have to learn.
The same with photography. Full auto mode makes a lot of assumptions and will never capture what you see. It takes practice and a bit of education and your images can improve 100% over full auto.
The cost per shot with digital is almost zero. The only real cost is your time.
So, rather than looking for the holy grail - the camera that can read your mind - instead look for a camera that feels comfortable in your hands, that you enjoy using, and that meets your needs.
I think you'll do very well by the A610, but that's just my opinion. There are plenty of good cameras out there waiting for you to find them.