This is one case where an equivalence argument is actually valid. To be blunt: your view is dangerous and ought to be regarded as reprehensible by anyone who actually values a free society.
Furthermore, it's a bullshit false equivalency that a Nazi, who wants to at the very least discriminate people, is somehow equal to a random person who would get discriminated against. Or a racist and any random person. Those are not the same, and don't deserve the same protections.
Let's call this the paradox of rationalization: those quickest to engage in the behavior tend to be those whose motives for doing so are the least genuine and trustworthy. And anyone with access to the levers of censorship must earn a high degree of trust.
It's not a bullshit false equivalency: every nazi is more or less just some random person with an opinion. Just like you and I are random persons expressing an opinion in this forum. At least, right up until they take action to commit violence--but that's a separate matter.
Hardly. Being a Jew is an immutable trait. Being a Nazi is a behavior choice.
Yes, absolutely, banning Nazism is 100% equivalent to killing Jews. Freedom of speech definitely depends on letting nazis spread their views. Declaring that nazis are bad for society is a dangerous view.
Totally normal things to say.