It would be less cluttered and easier to deal with if we could choose what properties appeared for each object, character, etc.
For instance, there would be a few default ones already applied to each object/character, but then we could open up a window with all possible properties and add each individually to each object/character.
This way I won’t have a bunch of unchecked properties cluttering up all my objects when the are only used for a few objects.
Restrictions that go alone with this would be
Object Has Property (whether or not the property was added to the object), and Property Enabled (whether or not the property is checked).
Then there could be actions for adding/removing properties, as well as checking/unchecking them.
I've added the notion of private properties which I hope will resolve this. I'll close this off, and if you don't feel it resolves this then we can re-open.