You seem a bit on your own here.
I am reluctant to say much as my knowledge of the Scots system limited, and my knowledge of the Irish now a few years old
BUT
I have the impression that Scots Highers and Irish Leaving Cert are much more like each other than they are like a- levels.
The other special feature of education in Dublin is that the norm amongst schools is to be a church school, Catholic or Protestant as the case may be.
However there are more officially secular schools than there used to be, and some of the denominational schools have a less denominational character than others.
Schools are quite diverse in character. Fee paying schools of the English independent type are rare, although many schools particularly secondary schools are in effect independents that are state subsidised so the fees really low, with concessions further than that, often, for the low waged. So the state independent divide does not really exist.
In general education is not a political issue, and culturally education is highly regarded.
And that, vague and general as it is, is about all I can say.