If you can't come together around even one demand, then the message your protest conveys to management is that you are momentarily upset but there is zero risk in ignoring you.
I agree that making a clear demand seems more effective if possible, but I don't think disorganization necessarily implies that displeasure is only momentary and involves no risk. Many people can be upset about something and agree on a way to protest it without agreeing on what the solution should be.