This whole thing looks like someone made notes at a seminar some noted facilitator gave years ago. That facilitator used "stack a conversation" in a throwaway fashion, the notes got spread around and that phrase has been parroted ever since. The meaning is probably lost in the mists of time.

>Then I think I'd go with some kind of push and pop LIFO analogy.
>
>>That was my first thought, too. But the main tenets of being a facilitator seem to be that everyone gets their say and that the facilitator takes no fixed position regarding the issue(s) at hand.
>>
>>That interpretation seems inconsistent, which is why I researched further (such as it is).
>>
>>>First thing that came to mind is "to stack the deck" - and in that context it would be the ability to predetermine the course of the conversation by limiting or directing its parameters.
>>>
>>>>It seems there are people who work as professional "facilitators": http://en.wikipedia.org/wiki/Facilitator
>>>>
>>>>According to the article, it seems one high-level skill they should possess is the ability to "stack a conversation". Not knowing what that means, I Googled and Binged it. I couldn't find any references that said anything other than repeating that it's a skill they should have.