I review the edit queue. Part of my review procedure is if edit is done by user g or user p tick accept. Although these users do not have the reputation to edit without review they have consistently improved posts with a better use of English, formatting style and attention to detail than I can ever do.
I appreciate that trying to make changes to the SE system is like trying to push water uphill but in this case I think there is room for change. If for instance you make 25 edits in a row all accepted it would streamline things on the site if you were given edit privileges. A reputation bonus would be nice too to compensate for the failure to gain reputation when edits are approved and would encourage editing and good editing behavior.
Reputation higher than 2000 does not particularly make you a good editor. Judgement should be made on success at the specific behavior which is what I am proposing.