Hmm - I don't see Bitcoin as a social movement, but I can see how might see it that way. It is just a neutral technology not social, not antisocial - it just is. Like is a coding language a social movement? It isn't - rather it is adopted as a way for people to interact with computers.
I think there is no formality or rules with communication, and that is part of the beauty of it. Anything top-down can be corrupted or co-opted - and that isn't Bitcoin.
If you look back at any "proper organization" they tend to have a board, an executive, and leaders. Thankfully bitcoin has no leaders and no formal rules regarding communication.
The BIP process is pretty formal, but it isn't communication - rather configuration recommendations to improve the protocol.