We have seen and are currently seeing this arrogant attitude in the occupant of the White House. Looking back on great leaders, this infallible attitude has not been present. Two examples of great leaders, yes even statesmen; George Washington and Ronald Reagan, were in fact just the opposite. They had confidence and self-assurance, but never thought of themselves as superior or not accountable to anyone.
Arrogance is a trait we see of inferior leaders. Arrogant people will say raising the national debt is unpatriotic, but then raise it more than anybody else ever had, and by vast amounts, but justify it because you believe you are infallible. An arrogant person will state emphatically an administration should never be allowed to spy on its citizens and then vastly increase the spying but say it is now proper because it is you doing it. Arrogance is criticizing others for being secretive and not forth coming, and then run the most deceitful and opaque administration perhaps in history and claim it is justified because it is you.
An arrogant leader is dangerous in any situation, but mostly so in a free society. Arrogant people are people of poor judgment and limited ability, but believe otherwise. Consequently they will not listen to others who disagree with them but only want yes people around them. They believe they are above criticism of any kind and will take revenge on any opposition or dissent. An arrogant leader in a free society, if given the time and opportunity, will become the tyrant when he succeeds in fundamentally transforming the free society to a totalitarian state.