The task of revolutionaries is not to organize the workers but to organize themselves -- to discover those patterns of activity and forms of organization that have sprung up out of the struggle and that embody the new society, and to help them grow stronger, more confident, and more conscious of their direction.
In his excellent discussion, Nate has a specific conception of "organizing" which is common to all Wobs. I believe the spirit of it is captured above.
Of course, if somebody starts with the idea that "organizing" means presuming some authority to tell others what to do, then arriving at the conclusion that "men shouldn't organize women" is very appropriate! I imagine many people unfamiliar with the mission of the Industrial Workers of the World could reasonably take this view.
For me, organizers are people who are able to plug the daily concerns of the people they know into a bigger picture, helping to bring clarity to their choices. Many of us feel overwhelmed with obligations, particularly at work, but don't know what to do. IWW organizers bring with them a sympathetic perspective -- you shouldn't feel overwhelmed, or under compensated, at work -- and a commitment to support worker preferences that are tied to shared goals.