I seem to lack some understanding at the programm 9desk. I left the first - my normal - desktop unnamed, checked the item "Hide applications from this desktop to other desktops". Named the second desktop, checked the same itme there too.
Still all desktops show the same links and items, and if I delete a link from desktop two, it does disappear on the main desktop too.
I would like to organize two different desktops with different programlinks on it, but this seems not possible.
I don't know if I have understood right but it seems that you are trying to customize icons on different desktops; 9Desks is only able (for now) to organize applications on different desktops and not desktop icons.