What’s more, the order is unbelievably stupid and illegal.
So stop obeying them. People are taking this random bullshit that Trump says, way too seriously. Just explain that you'll be happy to follow orders that come in from the US government, that is your employer, and that if someone has delusions that they're able to tell you what to do outside the established governmental system, that's not your problem.
I know it's not that simple. But it's definitely not as simple as "everyone do whatever crazy illegal shit Trump is telling you, and hope for the best," either, and way too many people seem okay with taking that approach.