Why do your icons move around so much? I've added or removed applications from my iPhone and the only limitation I see is that they have to be in a grid with no empty spaces between them. Otherwise the same application icons are in the same place, every day, year after year.
Do you have a screen shot that could illustrate what it is you want to be able to do?
To answer your question: No, I do not, ever. I don't want shit all over my desktop. I have them auto-arranged in a grid. On Windows they start on the left, on Mac they start on the right. So when I (for example) take a screen shot and it gets deposited on the desktop, I know where it's going to be.
But now that you finally gave a concrete example of what you want to do, I can at least picture it.
Do you have a screen shot that could illustrate what it is you want to be able to do?