I think this post underestimates the possibility for mis-communication on the "fact" level.
First, facts are hard to figure out. This is a fact (heh) worth repeating again and again in a community like this one. When one claims to search for objective truth, one must be held to a very high standard.
Second, two people operating at the 'fact' level might misunderstand each other if they are making observations on different conceptual levels. Russel never accepted Godel's incompleteness work because he was unwilling to engage with Godel's meta-level interpretation of certain Principia Mathematica expressions. Both were looking at the same expression, but each saw different true facts about it.
Third, many discussions here and in the real world are about facts about values.
When everyone is operating on the level of facts, they are detachedly trying to discover the truth about a certain subject.
I'm not saying that we can't rationally discuss values, but the idea that we can do so detachedly is less obvious. We should have values, and we should be attached to them (I value values!). If you disagree with me about that, are we disagreeing about facts or about values?
Where does the OP say we are trying to discuss values objectively? If you are signaling your own values, obviously you are attached to them.
If there are objective facts about values, they can be discussed objectively on the fact level. Whether or not in practice anyone can objectively discuss facts about their own values is another question.
Communication fails when the participants in a conversation aren't talking about the same thing. This can be something as subtle as having slightly differing mappings of verbal space to conceptual space, or it can be a question of being on entirely different levels of conversation. There are at least four such levels: the level of facts, the level of status, the level of values, and the level of socialization. I suspect that many people with rationalist tendencies tend to operate primarily on the fact level and assume others to be doing so as well, which might lead to plenty of frustration.
The level of facts. This is the most straightforward one. When everyone is operating on the level of facts, they are detachedly trying to discover the truth about a certain subject. Pretty much nothing else than the facts matter.
The level of status. Probably the best way of explaining what happens when everyone is operating on the level of status is the following passage, originally found in Keith Johnstone's Impro:
The level of values. Here the participants of a discussion are primarily attempting to signal their values. Any statements that on the surface refer to facts actually refer to values. For instance, "men and women are equally intelligent" might actually mean "men and women should be given equal treatment" while "there are differences in the intelligence of men and women" is taken to mean "it's justified to treat men and women unequally".
The level of socialization, also known as small talk. You aren't really talking about anything, but instead just enjoying the other's company. If the group is seeking to mainly operate on this level, someone trying to operate on the level of facts might get slapped down for perceived aggression if they insist on getting things factually correct.
For rationalists to succeed in spreading our ideas, we need to learn to recognize which level of conversation the discussion is operating on. One person acting on the level of facts and another on the level of values is a conversation that's certain to go nowhere. Also, it took me a while to realize that there have been occasions on which I was consciously trying to act on the level of facts, but my subconscious was operating on the level of status and got very defensive whenever my facts were challenged.
Usually what rationalists would want to do is to move the conversation to the level of facts. Unfortunately, if a person is operating on the level of values, they might perceive this as an underhanded attempt to undermine their values. I'm uncertain of what, exactly, would be the right approach in this kind of a situation. Defusing the level of status seems easier, as people will frequently find their unconscious jockeying for status silly once it's been brought to their conscious attention.