I have to agree with the last post.

This sounds like a perect chance to implement a Kaizen Event.
ramp up production in the week/weekend before and/or the week/weekend after. Then take the team that you identified & take them through kaizen training concentrating on 5s Principles, Auditing Process, 8 Wastes, NVA, VA etc etc.
I suggest between a 3-5 day event that should end with a presentation to management.
But im learning more and more that the most important people in all of this is surprisingly, management.

If they dont jump on board and (more likely) understand what you are trying to achieve and what is possible to achieve, then the rest doesnt matter. You ll do harm than good by introducing something that is not supprted from the top (or bottom within the lean approach).
Good luck and keep us posted with your progress!