You didn't read my post carefully. Here it is, to refresh your memory:
I was talking about belief in the sense of faith, that is, belief in things that cannot be proved or disproved. Your examples do not fall into that category and, thus, do not refute my point. In addition, my comment about "don't demand that others believe the way they do" was about belief (remember that I'm using it in the sense of faith). And, in fact, many religions, and other groups, do demand that "others believe the way they do." Wars have been fought over the issue of conflicting beliefs.