Learning requires patience [:-/] ... I managed to split the object by importing them to Rhinocero 5, then "select object -> Export Selected..."
Strange that PH3D refused to import the .DAE and .KMZ versions I had exported from Rhino ("format not supported"), but accepted .OBJ only. And that with not very much success either - as you can see in the pic (link)
compare what I originally thought I will have (to the left) to the mono-color result.
Guess Rhino export and PH3D import are not understanding each other.
...next need to try anim8or