The current version does not allow you to separate tags per type or based on permissions. We received several request about this and here is the PITS
that you can follow/vote
There is a way to implement some kind of filtering, but you will need a custom filed that uses a custom control which binds only the data you want.
the Telerik team
Do you want to have your say in the Sitefinity development roadmap? Do you want to know when a feature you requested is added or when a bug fixed? Explore the Telerik Public Issue Tracking
system and vote to affect the priority of the items