His views aren't the issue, his outspokenness is. How could a woman ever feel comfortable interviewing with this guy, let alone, working for him. What if said woman was a great fit for the company and had a lot to contribute? His ability to hire and fire effectively is compromised. Not because of his views, but because he couldn't keep his mouth shut about them.

Sometimes knowing when to shut the hell up is a far greater asset than being outspoken and opinionated. Especially about things related to your job...