As we know from OTL, the Normans overran Ireland without too much organized resistance but quickly lost control of the situation, mostly due to lack of centralized leadership and the fact that many Norman lords were, unlike in England, becoming Irish in their cultural practices and were drifting farther and farther away from the English crown in their loyalty.
How do you think this could change?
By the time of the Tudors, the English controlled the Pale of Dublin and had a relatively secure bond with the lands of the Earldoms of Kildare and Ormond, but really, everywhere else was either virtually independent or only recognized English authority when it suited their needs in clan based disputes.
I think having the King of England actually visit Ireland after the conquest, or command the conquest itself, might lead to a more centralized form of rule in Ireland. Henry concerned himself with this matter very little, as he was known to do with basically anything that was not occurring on the continent. Having direct leadership might have made a difference early on.
Also, as for Norman culture of the landholders surviving, maybe having simply more Normans go to Ireland, and having bloodier campaigns to subdue the clans would help. Nothing ensures a lack of cultural melting like outright hatred and oppression and hostility.
Any thoughts?