If you visit the Federal Reserve’s Facebook page, you will seldom find a positive comment. That’s because people who don’t care about central banking won’t go to the Fed’s Facebook page. That leaves only the ones who are positive about it—if they exist—and the ones who don’t like central banks.
The right doesn’t like central banks because of their centrality. The banks centralize power over interest rates, and the right doesn’t like central control over pretty much anything. The left doesn’t like central banks because they represent money, capitalism, and “too big to fail” banks.