SOON = in the distant future
Dollar is so strong now. And also bitcoins are limited so i don't think that bitcoin will replace dollar soon. It's can't be at my opinion
If bitcoin replaces the dollar, many early bitcoin adopters who have lots of bitcoin in store will dictate the world economy on their terms. Bitcoin supply is limited, those who have good amount of bitcoin in possession will manipulate the market and become a self proclaimed governments.
I hope bitcoin never ever replaces any fiat.

I think you're right, honestly. Just take a look at the world right now. Those that have the most fiat money are the most respected people. Others can claim that they have the authority because of who they are, what they did to get to that place, and the things that they have achieved in life. But that's not the case to other rich people.
For example, you can become a Youtube sensation by just showing off the things that you have. You can make a video about a day in your life as a rich person and people are going to watch it. You will gain a lot of followers and you'll eventually become a social media influencer.
If bitcoin becomes the currency of most people, like you said, the first ones to buy bitcoins and continued saving it will rule the world. But does it make any difference to the world that we live in right now? Our world is already dictated by money. Bitcoin overthrowing fiat and having new rich people take over doesn't have any difference at all. Money has always made the world go round, so to speak.