It's not frightening at all. Take it from another end. I visited this Christmas store on vacation.  Going through the place, it was clear that although they were selling the trappings of Christmas, the owners of the place also emphasized the religious nature of the holiday, including spelling the world 'CHRISTmas' in that exact typeface.

Now as an employee,  I write a memo like the Google guy, and make forceful arguments that the religious aspects of the place should be de-emphasised, such as getting rid of the 'HRIST' capitalisation or eliminating the word altogether in corporate branding. I  justify this through my own observations with a scattering of some hyperlinks to articles, reports etc. that claim that doing this will boost business.

If this is an element of my business that I want to emphasize, like a values statement, and I have clearly stated that to employees that criticism of this point isn't something I would consider as the owner, why I should I keep them on with me?