Not fireable, for the public role of leader of an organization? They're held to higher standards of conduct, whether we like it or not;
holding forth in public on opinions that 1) run counter to mainstream society in a way that's going to piss off a lot of people and 2) have nothing to do with the organization are a distraction, and a sign that leader's losing the thread on what their organization goals are and how to accomplish that.
In short, you can lead a software advocacy organization, or you can publish your opinions on aborting fetuses with down syndrome and your skepticism about pedophilia harming children, but you can't do both for long. (Unless you're stallman, then you can do it for decades before someone says, "hey, this guy's making the free software movement look bad".)
Also, I can't speak for everyone, but I don't particulalry disagree with or think any of the things you list in your comment are fireable.