Morality is subjective. If someone based their morality on the Bible, as many Christians do, I can see why they would reach the conclusion that homosexuality is "immoral", and I think it's fair enough that they might believe so.
As far as "unnatural" goes, again, I can see where they're coming from; after all, homosexuality is a bit of an evolutionary dead end. "Evil" is a bit strong, but these are second hand quotes, passed on by someone with an agenda, from one person (albeit the CEO) in the organisation, about just one of the many issues it will tackle in this conference.
The charge of equating homosexuality with paedophilia is rather flakey, and an example of shoddy journalism if you ask me. I discovered the original article
here, and I can't see how it does anything of the sort. What it actually does is use homosexuality as an example of how declassifying something as a "disorder" leads ultimately to normalisation and a failure to discuss its potential downsides.
Race is a rather different kettle of fish. It's much more obvious and physical, and clashes much less with Christianity and other major religions, than sexuality. It's also now pretty universally accepted that racial discrimination is unreasonable, and once something has been consigned to paradigm it's fair enough to also consign it to illegality. On the other hand, when a reasonable segment of the population still holds strong views on the other side to the "enlightened" perspective, the best way to change things is to engage into debate rather than to deny a platform, which will only harden attitudes, and isn't really fair on people who hold views to which they are fully entitled.
For instance, take the article I talked about two paragraphs above, on paedophilia. When you think about it, the notion of being attracted to children is in many ways very similar to homosexuality - that is, it's something which is presumably innate and unchangeable, and not in itself reprehensible (though in the case of paedophilia as opposed to homosexuality, it is reprehensible if acted upon). But society has not yet accepted this logical fact, which it probably will in time, and as such trying to treat paedophilia is still something which has very widespread acceptance. Should we say that treating paedophilia is logically very similar to "treating" homosexuality, and thus outlaw it and censor those who advocate it? No; instead we need a debate on the issue, and if and when it is finally settled we can then consign it to paradigm and deny it a platform. Until that point, it must remain a legitimate view.