I Believe In Free Speech, Even If I Don't Like The Message

I don't normally make political posts but I just had a discussion with a friend about banning hate speech and that really made me think about how serious of an issue it is for people who do want to ban hate speech. Do they not realize that in banning hate speech, they're giving up their own rights to free speech as much as those they want to silence? What happened to "sticks and bones may break my bones but words can never hurt me"? I think those who want to restrict the freedom of others just so they can feel more comfortable are the ones who deserve it the least.