I think everyday trust toward to the money is rapidly depleted, and people will finally realised how ignorant and gullible theyre to just earn the IOU garbage fake money, do you think crypto will trigger the complete bank run? Or any other delusional store of value that we dont know yet?
If you consider US dollar as one of the fake money you're talking about, why do bitcoin and other altcoins being analyze based on US dollar. Cryptocurrency won't elimnate the current currency. They'll exist together at the same time because they have different purpose in our system.
Saying that fiat money is fake is some kind of protest but it shows also ignorance about basics about finances and economy.
Cryptocurrencies will not replace fiat money and to my opinion that is not idea of crypto and not the goal. Also banks will continue to exist but they will modify their business and start implementing cryptocurrencies in their business. Just good regulation is needed for that.