The convincing takes time and more varied methods I'd say than simply having people know you are the leader and project those qualities and have them obey.

Of course, convincing is not about formal structure and sometimes the fact that you are a formal leader giving out orders actually makes you less convincing because of the disconnect.

If you want to lead by conviction, talking about non-equality doesn't really make any sense to me as the fact that somebody is a subordinate to somebody else in the formal chain of command has no bearing on what either of them would be convinced of.

Of course, there are all kinds of leadership styles and the idea that everybody would always be convinced of everything that is asked of them is not realistic. Still, I would say that when team members are doing things with conviction, the efficiency of the team could increase significantly and management and leadership would require a bit less effort and time.