pachyderm I know the workings of one university here pretty well and it's not completely woke at all.
Student activists: earnestly holding a candlelit vigil on transgender day of remembrance while tweeting and IGing every 2 mins.
Majority of student body: passing said vigil with a "what's that?" (or in one case I heard "who died"?) and happily using the male and female toilets and sports changing rooms in the university because they assume the new gender neutral ones are for transgender students.
Staff: very few strong views expressed either way but no default woke groupthink. Everyone I have heard mention the sex offender in the Dochas Centre has been against it.
University management: quietly implementing third-space solutions everywhere to meet their obligations under the Equal Status Act, and writing gender identity and expression policies to match. The ones I have seen (from different universities) all differ quite a bit but are not too bad.
There's no hive mind in the Irish University sector, as far as I can see.