One fairly non-controversial part of the status quo right now is our dependence on fossil fuels and co2 emissions to keep our economy running.
Saying "I'll keep my views private" means I'm giving an okay to what's happening now. If every individual shares the thinking at every company then it is impossible to even imagine how the most catastrophic climate change can be avoided.
Beyond even this example, it's is politically naive to believe there is some "normal". The status quo today is the politics of the current dominant power (which is largely market forces). Agreeing to be "apolitical" is actively support of this system. Your view is the one that is strongly "with us or against us" in that any opinion other than the dominant political ideology is supposed to be silenced at work.
"Just do you job and don't voice contrary opinions" is a pretty radical political opinion if you ask me, so your definition of "apolitical" is only "A"-political because you are so intensely in opposition to non-status quo beliefs that you disregard them completely.