I would disagree. Many ideological worldviews are taught in the curriculums of the public education system. For instance, the idea that homosexuality is wrong (not a view I personally hold) is not tolerated. Students are taught that homosexuality is a valid, normal, way to live (and I happen to agree).

However, whether it is right or wrong, valid or invalid, is an ideological argument. Schools should simply teach that it occurs in humans, and leave the question of whether to accept or reject it to parents (there are plenty of other natural behaviours many of us reject on ideological grounds, polygamy for instance). There are countless other examples where ideology is taught as curriculum.