Seems there is no problem :)
When your model is imported in Sketchup, just explode some level of Components!
Here export from Moi in 3ds format, then import in Google Sketchup in 3ds format :)
As you can see each part is very well separed! So very easy to "paint" with any textures!!!
(little tips :just "triple click" for select a part without effort ;)