I like flamsmark's suggested wording. 

Badg: _Again, I get whiplash when you say "we want anyone" and then "we aren't open to everyone". Inclusiveness implies that we are open to everyone, every person. The idea that membership can be revoked or refused is implicitly based upon behavior, whereas "we are not open to everyone" sounds implicitly ad hominem. Ad hominem is not okay by me._ 

My take here as someone who's seen her friends harassed, often by the same person: if a person who's repeatedly harassed people elsewhere is a well connected part of a community, I'm going to avoid that community. You may call it ad hominem--what if they're perfectly well behaved when they're in the community?--but for me it's pattern recognition and not wanting to put myself in a vulnerable situation. An explicitly stated "Our doors are not open to everyone" would give me the sense that a community has thought about concerns like mine. 

Basically, I don't think it's always as possible to separate the person from the behavior as you suggest, especially when there's an existing pattern in multiple communities.