For profit companies should not choose sides. Google's only discussion of politics in the workplace should be on how to make their systems be as unbiased as possible.
The problem with statements like this is that not choosing sides is exactly as political as choosing sides. There is no such thing as ignoring politics — it's an essential part of the human experience, so any organization must grapple with it.
People who think everything is political are usually authoritarians. They believe in order for progress to be made, you have to force or coerce people into doing the right thing.