He says that this equality where every one is same is not good and is like everyone has to bear the oppressive measures of the government. It is like being handicapped.
Explanation:
The basic message all through the short story "Harrison Bergeron" concerns the perils of complete equality. In Vonnegut's tragic America, the administration has altered the Constitution to make each resident totally equivalent in for all intents and purposes each part of life.
But Bergerson does not want to accept such kind of equality and says that people have been handicapped in the name of equality. He raises his voice against this and thus is a threat to the society and the government.