We tried that. Our country has had great difficulty with central banking in the past, and today. Entire books have been written on this topic, if you wish to learn more, I'd start with the history of the First and Second bank of the United States.
https://en.wikipedia.org/wiki/First_Bank_of_the_United_State... https://en.wikipedia.org/wiki/Second_Bank_of_the_United_Stat...