Yes, you are right. And, although political and philosophical beliefs are not explicitly listed as protected in the Equalities Act, there is case law, at least concerning employment, such that they are protected.
Holding philosophical beliefs is very much a protected characteristic under the Equality Act - and indeed is supposed to be completely equivalent to religious beliefs.
I linked to the description of what comprises a 'belief' that is protected previously on this thread. I've given this again here
Compare that to the hoops people who hold non-religious beliefs need to jump through to be able to use 'belief' as justification under equalities legislation:
https://www.equalityhumanrights.com/sites/default/files/religion-or-belief-guide-to-the-law.pdfNote that the law differentiates between 'religious' belief and 'philosophical' belief. Religious belief is effectively just nodded through by the law (I'm a Catholic; I'm a Sikh would be enough), but a 'philosophical' belief has to meet stringent criteria as follows:
"The Act does not include a definition of belief other than ‘belief means any religious or philosophical belief’ and includes a lack of a particular belief. The courts have developed a definition of belief through the cases they have decided.
A belief need not include faith or worship of a god or gods, but it must affect how a person lives their life or perceives the world.
For a philosophical belief to be protected under the Act it must:
• be genuinely held
• be a belief and not just an opinion or viewpoint based on the present state of information available
• be about a weighty and substantial aspect of human life and behaviour
• attain a certain level of cogency, seriousness, cohesion and importance, and
• be worthy of respect in a democratic society, not incompatible with human dignity and not in conflict with fundamental rights of others. For example, Holocaust denial, or the belief in racial superiority are not protected.
Beliefs such as humanism, pacifism, vegetarianism and the belief in man-made climate change are all protected."
Whether political beliefs are included is, I guess, up for discussion, but provided the belief fits these criteria then I do not see why it shouldn't be.