Beliefs should be ridiculed and tested.
Why is that the case ?
In some circumstances, I can agree - you cite neo-Nazi and Klan beliefs, and I would agree with you there.
But I think that we need to have a harm based assessment of beliefs, before we feel that there is an absolute need for them to be ridiculed and tested.
If someone believes in something which we feel is demonstrably wrong (YECism, demons, an athlete tying their shoes in a particular fashion to improve their chances of winning), then I think that we act disrespectfully in attacking those beliefs, unless the belief (or the desire to promulgate it in science lessons, for example) can cause harm to others.
Life's a difficult old course, a lot of the time, and if someone's belief helps them through it, without harming others, then I don't begrudge them that belief.