Unfortunately, this is not possible. To get desktop icons back you will have to disable the Compiz Wallpaper plugin and allow Nautilus/Files to draw your desktop.

The Compiz Wallpaper plugin can draw your background, which can allow you do do some cool stuff (like have a different background image for each workspace). But this conflicts with Nautilus' ability to draw the desktop, and only Nautilus can display desktop icons.

For more information, see the answers to this question. Apparently people have tried to make Nautilus draw a transparent desktop so you can see the images from the Compiz Wallpaper plugin behind the Nautilus icons, but those efforts have not yet been successful.