Further, I don't think not believing in something, nor expressing that disbelief thereof qualifies as "intolerance" by any definition.
What specifically is not being tolerated?
How many people publicly deny the Holocaust but are otherwise tolerant of Jews, homosexuals, etc.? I'm really curious what you think that Venn diagram looks like.
Banning views that may be associated with otherwise intolerant people but aren't themselves intolerant is just a road to hell. It's literally stereotyping.
You could draw a lot of very hateful venn diagrams against most major religions. That shouldn't stop people from expressing their faith because you can draw a line.
If you are a holocaust denialist, then you are by definition absolutely intolerant, and I am perfectly fine with you being expunged from any community of the civilised.
I am a person of jewish descent, and I find the action of silencing people far more disturbing and closer to that of the reich, than those of the people being silenced.
if the Venn diagram is nearly a circle, the two are intrinsically linked.