Leave the Favorite option or Saved Search for users
Regardless of whether you have the user type dropdown enabled ( read about user roles in dropdown here), you can select which pages to show in the user dashboard from Theme Options -> General -> User Type settings.
Note: If no page is selected, all pages will be displayed.
Disable the “Add Listing” Button and Form in the Header
Navigate to Theme Options > Header > Login / Register & Submit and set NO to Show submit property button in header? option:
How to set the theme to save favorites without login
This video tutorial explains how to manage the process without requiring the user to register. Watch Video on Youtube

