I don't think natively you will be able to do this using access point.
One possible option is to create a landing page qvw used to then launch other applications. At this point the launching of other applications could be tailored to load specific BMID's (passed in the URL) based on the logged in user.
You would need to use the powertools shared file connector to extract out each users bookmark ID that is required as their launching bookmark and then store this in your landing page application.
Hope that helps