I'm not sure what the benefit would be of adding this much complexity in giving out new privileges for users that already are on the right track. Specially for suggested edits that already comes with a reputation bonus of +2 for each approved edit (up to 1000 rep in total).
If I look at your proposed parameters on Stack Overflow 452 users would gain the full edit privilege now. I'm not convinced those 452 users will be super thrilled to receive a privilege a bit sooner as they are obviously on the right track. You could argue it releases some stress on the suggested edits review queue but that queue is dominated by robo-reviewers so it hardly ever is a problem to all reviews handled in a timely manner.
That basically rules out the full-edit privilege to be a good candidate to include site-participation into the privilege threshold.
How about other privileges? Flags (500 rep), Close votes (3,000 rep) and maybe delete (10,000 rep)? There isn't a lack of number of users that can flag or vote, not even on Stack Overflow. There is a lack of participation in using those privileges. Bringing a small number of people to that pool isn't beneficial in the grand scheme of things.
The gamification as is works well enough as motivator to end-up with a certain privilege. While it sometimes seem to take for ever, specially near the end, the reachability of a privilege is enough motiviation to keep people doing the right thing. They will be rewarded anyway.
Let's not implement this feature request.