This is actually a really interesting case study of a society with very traditional values (male dominance, Catholic religion, nationalism) suddenly adopting very liberal values. The emphasis on faith and devotion remain, as does the deference to men and their needs, and the fact that opposing views can be ascribed to the old enemy is the icing on the cake.
I honestly don't recognise this characterisation. I'm in my 40s and the "very traditional values" thing belonged to my parents' generation, not mine. The Ireland I grew up in was catholic and conformist alright, but it was already beginning to disintegrate when I was a child and teenager, with the X case and institutional and sexual abuse by the church, etc., and I was not conditioned into an automatic deference to men and their needs. If anything, the very strongly matriarchal culture of the Irish mammy meant that an automatic deference to the mother was more common than deference to the man. By the time I was a young adult, none of my peers were religious, and liberal views on issues like divorce and gay rights, etc. were the norm (polls from the period bear this out) .
And that was a whole generation ago! The recent legal changes like marriage equality and abortion rights came about because my generation had finally taken over political power in the country from the older generation, not because everyone had suddenly dropped traditional/religious values and latched onto wokeism as a replacement.
The woke young adults in their teens and 20s you see in Ireland now who have swallowed the TWAW line mostly have parents of my generation, and grew up in households that were culturally catholic only (ceremonial events in the church - baptised, married, buried, etc. ... but completely ignore the church as irrelevant on anything else, most notably social issues like contraception, abortion, homosexuality, IVF, and so on). And Ireland is also full of young adults in their teens and 20s who grew up in similar households but who do not hold that TWAW. They are compassionate about the perceived distress experienced by trans people and against any discrimination, but they also tend to assume that trans people use gender neutral bathrooms and changing rooms rather than male/female ones (as provided in most Irish universities, for example) and that TW don't actually compete in women's sports (probably because it hasn't come up in the GAA yet). This second group tend to be less visible online in public fora like Twitter and FB groups, but it can be seen a lot in private conversations like people's FB feeds and especially irl.
I think the "replacing religion with wokeism" line sounds neat and tidy but it's superficial and doesn't bear close scrutiny. There is a gap of at least one generation between Irish people dropping traditional religious views and the emergence of the woke TWAW view. Something else is driving some - and only some - of the current generation of young adults to uncritical woke activism.
Personally, I think a recent FWR thread hit the nail on the head: it's to do with seeking social approval and validation after rejecting other routes like the pornified Instagram ideal foisted on young women.