Every group disagrees at some point.
I work on a lot of committees and I have to say they are largely ineffectual bodies of well intentioned but totally unqualified people that understand few of the issues involved. That can be very frustrating when you are trying to get something done that has a time element attached. While I agree that consensus opinion is a desirable thing, sometimes we just have to go with what the majority wants. Perhaps you could have a two tiered system where consensus was preferred but after a certain period of discussion then majority voting would be accepted for the sake of expediency. If each vote had three options, and the compromise option obviously had components taht were beneficial and acceptable to all, and fulfilled the function for which the vote was called, then it could be resolved amicably.