You’re wrong that a so-called “war on hate” doesn’t work. More correctly, it doesn’t work in the US because of the first amendment and the few limitations on it.

Many other countries have robust anti-hate speech laws that are effective, although less so in the age of the internet.

People broadly conform to the society in which they live, and the rules of the society are broadly set by the laws they adhere to. So in countries where hate speech is disallowed, people conform to a less hateful viewpoint as a rule, and hateful people are the exception.

In the United States, it is clear that hatred is the norm as long as it is permitted by law and by leadership.