Trying that on teacher unions failed and police are more trusted and more respected than teachers/schools.
https://news.gallup.com/poll/274673/nurses-continue-rate-hig...
https://news.gallup.com/poll/236243/military-small-business-...
https://news.gallup.com/poll/274673/nurses-continue-rate-hig...
https://news.gallup.com/poll/236243/military-small-business-...
Also, enough public support exists for both sides to try and act so which one has more "public trust" doesn't matter at all, it's about exerting power now.