The rich of these countries will need to flock somewhere. While you might think that the prices of the USA stock market is high, these guys will find the deal favorable to what they have in their own countries.
It is not only Turkey that seeing the correction. Many countries in North Africa, South America, SEA, Russia, South Africa are getting squeezed. You'll be surprised at how much money is looking to leave these countries and settle shop somewhere safe.
You just need a passport and a tourist visa to open a bank account in the US. Moving your business there is pretty straightforward if you have enough turnover and will to pay some taxes.