https://en.m.wikipedia.org/wiki/Orange_walk
I'm not sure they can be described as "anti Irish".
Unless you’re going to engage in a bit of sophistry - “the people who participate might be anti-Irish but the actual Orange Order as an organisation is simply expressing its fondness for the Act of Union” - I don’t see how you could not see the anti-Irish aspects of the Orange matches.
Similar people, similar politics of hate however you want to dress it up.
They are not anti-Irish; they are Unionist. If you don't know what that means, consider educating yourself. You should also consider not viewing everything through the lens of US history and American race relations. The specifics matter.
The people who march in Orange parades may be from Northern Ireland but they do not consider themselves Irish in any way and would be deeply offended if they were described as such. British. Ulster Scots. Northern Irish at a stretch. But never Irish.
I've no interest in learning why these people think it's OK to express their deeply offensive views on the streets of a Scottish city, or indeed any other street or city.