Never understood why the debate over abolishing the monarchy here so often descends into "but things don't look better in the US do they?"
(Well, I do get it, it's because we're a resolutely monolingual country and as such everything ends up becoming a comparison with the US eventually.)
There are loads and loads of countries which have elected heads of state who both handle the ceremonial side of things but also represent the democratic will of the people when they have to actually make political decisions - the big one being choosing which representative in the legislature to invite to try to form a government. No wonder the Irish think we're so nuts (beyond, y'know... all the other reasons).