We're all for rules, to a point. The Bill of Rights is pretty darn spiffy, and we're definitely behind the 14th and 19th amendments. But 213 amendments to the Constitution? Yeah, that might be just a smidge too many. In Vonnegut's 2081, people have been beaten down by rules. They're literally wearing the laws in weighted sacks around their neck, and it makes them tired and useless, too exhausted to even imagine how life might be different. "Harrison Bergeron" shows us that when rules rule out any hopes and dreams, they've definitely gone too far.
Poor Hazel Bergeron. If she were Handicapper General, she wouldn't abolish the rules. She would just change them. Talk about brainwashed.
In a world where everyone is equal, the Handicapper General is decidedly not equal. She's above everyone else.