You are erroneous in your belief that bringing politics into the workplace is a means to work against division. Quite the opposite. When politics are brought in

You are erroneous in your belief that bringing politics into the workplace is a means to work against division. Quite the opposite. When politics are brought into the workplace, political discussion is monopolized by people with power (be it explicit authority, or social influence) and exclude people whose politics are opposed to them. Politics, by nature, tends to divide people which is precisely why companies that want to avoid a divided workforce don't allow politics in their workplace.