Ask HN: How to disagree with the rest of management?

Hey, hive mind! Could you point me in a direction where I could research more about how to handle disagreement/discord within management of a company? I am a software engineer who has been growing through the ranks until I reached level of management structure in our company. The company is rather young (<10 years), rather small (<500 employees), but not tiny any more. Currently the company follows approach that feels a bit insincere or on times even totalitarian to me - managers cannot disagree with each other in front of other employees, a manager cannot criticize management actions/decisions. Of course, I could be completely wrong about this and it could be the best policy. Yet I'd like to learn more about this topic and adhere to it because I agree with it, not because I was once told to follow it. My discontent stems from several ideas - everybody can make mistakes, a lot of decisions are really compromises with up and down sides and not silver bullets. This, together with "obligation to dissent" approach that I personally like, makes me believe that it's better to be able to voice concerns and disagreements instead of hiding it. So I would prefer to have a system where management actions are seen more like a social contract that we all subscribe to (I've joined this company because I think it is doing a mostly good job), not a god-sent infallible order, which cannot ever be criticized. Now it feels like I am just trying to sum up "obligation to dissent" in other words :) Are there any other resources/research/etc to compare totalitarian style vs more open?

Some disclaimers: - I have tried searching for this topic, but didn't find too much related stuff - I'm not sure how to submit to "Ask HN" directly, I only see the general "submit" button, so here we go. Sorry if this post ends up in a wrong place - account name is pretty much random, so that it doesn't remind anyone of me