I think "unhinged" is a ridiculous word for it. They aren't crazy.
"Outrageous" is better. This will work on a lot of people, and they really will email their managers, because they're sheep. But it won't actually change the managers' minds for the positive. If I got wind of a plot like this against my decision, it would absolutely convince me to stay the course.
If the employees want to complain, I'll listen. If they're encouraged to complain, forget it.