The way the organization uses the term "organization" is so broad and generic that it's possible to argue that Adam and Eve were an organization. My father used that argument, and what's worse, he thought it a good one.
Good point, and it's good to take note of the quantum leap of illogic that JW's take in discussing this subject. If they can establish any sort of organization as being legitimate, even as simple a one as Adam and Eve as a family unit, then they assume that the fact of that "organization" justifies the type of organization that they have - centralized, controlling, and totalitarian.
I've had JW's argue, "Well, surely there must be some sort of organization at your church." Well, sure there is. We all sit in the pews, we behave in an orderly fashion, one person is designated to speak at a time, there are individuals who have been appointed to handle certain tasks or to function as shepherds and teachers, so, yes - we're not disorganized. But the "organization" that exists in my local church doesn't control all similar churches all over the world. We don't cast out and shun anybody who disagrees with us about anything. We don't issue rulings on matters that are not covered in the Bible that then become law for all members. We don't try to control every aspect of our members' lives. And we don't condemn to destruction all those who are not members of our church.
So yes, any time people are going to meet or act in groups, there will need to be some sort of "organization." But the organization is merely a tool to get things done, not an object of worship, as with the JW's.