I think Texstar only has widget-icons on his desktop,
but other people here have 'normal'-icons on the desktop
(little bit confusing: two different types of icons possible)
Thus, if you put 'widget'-icons on your desktop, you won't have any problems anymore with that icons
(but e.g. documents on your desktop will still move (auto resorting automatically), when you do something (saving, changing properties, etc.))