I doubt that there's a fully automatic way to do it.  You could have the prop
call a python to set the various parameters, but that couldn't be automatic
because there's no guaranteed way to distinguish one figure from another. 
The script can check if the name of the currently selected figure is "Mike",
but that would fail if the user had renamed the figure, which is a common
practice.  Aside from names, there may be some parameter that is
fairly reliable as a "distinguishing mark", but again the user could have
rescaled or modified the figure.

Completely separate props is the only way to avoid confusion.

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