That's because a very large number of people believe in the government they elected and an even larger number of people believe in the US economy and its international trades.
If not for that the US dollar would evaporate but as long as all of these people believe in it and use it as the reserve currency for the world the US dollar has nothing to fear. It may fluctuate but you can't do a 'bank run' on the USD. You can do all of the usual forex tricks (including shorting the USD) depending on how much your own belief is at odds with a counterparty that holds a (slightly) different belief. George Soros famously made a fortune (a cool billion, which was a lot of money in the day) doing just that with the British Pound.
Individual banks may go under, but they all use the same underlying currencies. Binance has a similar problem (but different in many important respects). The number of people that 'believe' in Binance is a lot smaller and if enough of those people want their money (for instance USD!) back then Binance had better cough them up or they'll go bust. If you don't have a deposit there you are likely either a neutral party or you are already liquid (in that case: good only). If you do have a deposit there and you're willing to let them hold on to it then you are betting that they will stay in business.
I don't know about your financial situation but if you can't afford to lose your money then you may want to update your status bits on this news, a $2B outflow in a short period of time is not something a company like Binance can sustain indefinitely, where 'indefinitely' is something like '30 days'. It will be interesting to watch this play out and to see if they manage to hold the fort. Personally I would be highly surprised if they can sustain a drawn out run. But if they somehow can they'll be attracting a lot of business.