People with strong political identities usually have their maps systematically distorted.
Oh, certainly. Feminism points out, though, that the social mainstream is also a strong political identity which systematically distorts people's maps. They use somewhat unfortunate historical words for this effect, like "patriarchy". That's just a label on their maps, though; calling a stream a creek doesn't change the water.
So combining this with your guideline, we should be careful not to invite anyone who has a strong political identity ... but we cannot do that, because "ordinary guy" (and "normal woman") is a strong political identity too. It's just a strong political identity one of whose tenets is that it is not a strong political identity.
We don't have the freedom to set out with an undistorted map, nor of having a perfect guide as to whose maps are more distorted. Being wrong doesn't feel like being wrong. A false belief doesn't feel like a false belief. If you start with ignorance priors and have a different life, you do not end up with the same posteriors. And as a consequence, meeting someone who has different data from you can feel like meeting someone who is just plain wrong about a lot of things!
Also ... I wonder what a person whose maps of the social world were really "no better than random" would look like. I think he or she would be vastly more unfortunate than a paranoid schizophrenic. He or she would certainly be grossly unable to function in society, lacking any ability to model or predict other people. As a result, he or she would probably have no friends, job, or political allies. Lacking the ability to work with other people at all, he or she would certainly not look like a member of any political movement.
As such, I have to consider that when applied to someone who clearly does not have these attributes, that expression is being used as merely a crude insult, akin to calling someone a "drooling moron" or "mental incompetent" because they disagree with you.
but we cannot do that, because "ordinary guy" (and "normal woman") is a strong political identity too.
If everyone has a strong political identity, then the phrase “strong political identity” is meaningless.
Also ... I wonder what a person whose maps of the social world were really "no better than random" would look like.
Exactly. Reversed stupidity is not intelligence.
A long blog post explains why the author, a feminist, is not comfortable with the rationalist community despite thinking it is "super cool and interesting". It's directed specifically at Yvain, but it's probably general enough to be of some interest here.
http://apophemi.wordpress.com/2014/01/04/why-im-not-on-the-rationalist-masterlist/
I'm not sure if I can summarize this fairly but the main thrust seems to be that we are overly willing to entertain offensive/taboo/hurtful ideas and this drives off many types of people. Here's a quote:
The author perceives a link between LW type open discourse and danger to minority groups. I'm not sure whether that's true or not. Take race. Many LWers are willing to entertain ideas about the existence and possible importance of average group differences in psychological traits. So, maybe LWers are racists. But they're racists who continually obsess over optimizing their philanthropic contributions to African charities. So, maybe not racists in a dangerous way?
An overly rosy view, perhaps, and I don't want to deny the reality of the blogger's experience. Clearly, the person is intelligent and attracted to some aspects of LW discourse while turned off by other aspects.