By giving away symbols to hate groups we're empowering them. The way the gay movement conquered hate speech was by quit being offended by it.
I think the message that needs to be spread is that it's ok being offensive and nobody needs to care if you get offended. Being offended has to stop being a thing that is expected to lead to apologies or changed behaviours.
I'd prefer it if people weren't Nazis. But I don't want Nazis to be quiet or stop being proud of being Nazis. If they're visible, at least we can talk with them about it. They're not going to stop being Nazis because they're forced to be sneaky about their Nazism. That's not how human psychology works. Nobody wants to be told what to do. Nobody wants to be told what to think. If we want people to change their opinion we need to up our persuasion game, rather than getting offended.
Meanwhile, how many teenage suicides due to bullying should we celebrate?
Gays didn't "conquer hate speech." Hate speech is alive and well and just as painful as it has always been. Words can have as much or more power than actions.
Thinking that you can make abusive people go away by insisting they face no consequences for their abusive behavior is silly. That doesn't work for criminal abusers, so why would it help for these non criminal abusers? You don't even want us to acknowledge the abuse? Just go about our days patting abusive assholes on the back? "Good job! I don't exect you to apologise and I don't expect you to change your behavior. Just keep it up so I know where to find you!"
No, that isn't the path to a better world.