Indeed a great initiative, happy to see somebody outside of Council stepping up! Generally, I don’t see any issue with doing this, and I don’t think you need the blessing of the Council or Peers. However, we should be careful with the SOPs, for these we definitely need a discussion if it’s not simple typo fixes.
I’ve started a cleanup page some time ago, there are still some items left. Maybe a good start would be to populate this with inaccuracies from the different pages so we get an overview of what would need to be done?
https://wiki.mozilla.org/Reps/Cleanup
(the Reps descriptions and FAQ is something we will tackle already, no need to change anything there yet: Reps descriptions on the Internet. I’d say we will share a new description for broader feedback within the next month or so)