your private interests probably don't include the wish for your co-workers to be harmed, killed or at least treated like a lesser being.
There's a reason I say "ticking time bomb" in my comment. Hypothetical Jewish person keeps kosher for instance. Is that "acting on" being Jewish at work? What about wearing a yarmulke? If that is, how do you rectify it? If you allow yarmulke, is a swastika armband okay? Both are clothing choices depicting "views".