The evidence indicates not taking a position is the optimal position.
I have a lot of respect for CEOs who just focus on being a good CEO. It's a hard enough job as is. I don't care about or want to know some CEO's personal position on politics, religion or sports teams. It's all a distraction from the job at hand. Same goes for actors, athletes and singers. They aren't qualified to have an opinion any more relevant than anyone else's, except on acting, athletics, singing - or CEO-ing.
Sadly, my perspective is in the minority. Which is why I think so many public figures keep making this mistake. The media, pundits and social sphere need them to keep making this mistake.