To add a module to a page the user must have admin permissions.  Only way I see is to create a child portal for each user.  How will you handle that all users can edit the forums from other users?  This you can not in one portal.  So your users must have it#s own child portal.  There is no notification at time if a module is added to a page.

The Modulelist can not be personalized.  I don't know if there is a 3rd parity module for it.  But on the core this feature is not availible.  There can be done a special list if you makred he module as privat for each portal but not on user side.