None of those examples are political in so far as to be a problem. Reasonable people understand this. Maybe that's the major issue: the boundary of reasonable is being pushed to the extremes by those who are unwilling to accept anything else.
Those who can't be reasonable and insist on irrelevant politics in the workplace should should leave. That's quite literally what this policy and exit package is for. I don't see the problem. In fact those creating such a problem with it are precisely those who the policy is referring to and they should find another employer more suited for them.