Also I am not sure what mechanism you are describing when you say that central banks pay dividends to their governments. On the contrary, governments like the US use their central banking system to do open market operations on bonds they issue to finance their operations, and usually have to pay interest on that debt. No?
"The European Central Bank remits its interest income to the central banks of the member countries of the European Union. The US Federal Reserve remits all its profits to the U.S. Treasury."
http://en.wikipedia.org/wiki/Money_supply#United_States
Also I am not sure what mechanism you are describing when you say that central banks pay dividends to their governments. On the contrary, governments like the US use their central banking system to do open market operations on bonds they issue to finance their operations, and usually have to pay interest on that debt. No?