The protest is about trying someone else to do something.
In a country where your employer controls your access to healthcare and retirement, as well as indirectly controls your access to these things for the rest of your life via references (future employers will shy away from hiring a lone person who refused to do as they were told and was fired for that reason), I would say this is not easy at all.
IMO, modern companies in America are turning into a sort of benevolent government; and that's why you have all these protests. Cut employers out of things fundamental to life like healthcare and retirement, and turn it into a true monetary exchange. Then you will have far fewer of these protests; and people might feel more comfortable quitting en masse instead.
> Imagine having employees who refuses to do work because 'they feel they shouldn't'. Or organizes walkouts, protests and are actively lobbying for changes in company policy to reflect their own personal values. Or protests against certain customers of the company, because they are evil in some perceived way or form. It's smart to do what one can to get rid of these types of employees basically because they are only trouble, they add nothing with their activism in the workplace.
I think the world would have been collectively grateful if engineers at IBM and Dehomag would have refused to do some work because they felt they shouldn't [1].
Remember, politics is out there in the world. If a large enough number of people at your company are being affected by it, there's likely something wrong that's much greater than your company. History can teach us some lessons about this.
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[1] https://en.wikipedia.org/wiki/IBM_and_the_Holocaust