Hi Pozero - you can't show points for an object that is made up of multiple joined surfaces except where the surfaces share the same point structure along their common edges.

You can use Edit/Separate to break a joined object into individual surfaces, then you can show points for those independent surfaces.

Here is another post that has a longer description:
http://moi3d.com/forum/index.php?webtag=MOI&msg=759.12

- Michael