Those symbols speak of liberty and republicanism, which is the opposite of the imperialism of Caesar. Our currency bears images of George Washington and Thomas Jefferson (they would not have approved of being there) who fought against the idea that all wealth belongs to the king.
If you want to use this passage to justify the government owning all money, you also have to accept as normative the authoritarianism behind Caesar's imperial economy.
Carry a lot of two dollar bills?
I don't, but I have a jar full of nickels.
