Where did you get the assertion that a central bank is a private organization? What evidence do you have for that?
Most income taxes collected in the US/UK go directly to these private organizations.
In many ways slavery in the US was 'abolished' in 1865 then a revised version (aka perpetual debt slavery) was adopted in 1913 at the tail end of the US-China opium trade induced economic boom and expanded by both parties in the decades that followed.