I just changed it so at 5kat 5k you get full access to the suggested edit queue, this makes the 5k priv way more substantial.
I agree that giving our most awesome editors and flaggers special rights makes sense. However, as it stands, all privileges unlock at a reputation bar. A change along these lines will have to be carefully thought out. We also need to ensure there the privs route would clearly explain the requirements.
As it stands there is no - "how awesome of an editor" score anywhere on the users page. We would probably need something like that as well. Some number that is indicative of the quality and quantity of your suggested edits.
It probably makes sense to only give "unchecked" edit privileges to editors that passes a certain bar in the "suggested edit weight" bar, but flipping the "rep gains privileges" model on its head is a difficult and complex change.