I think the extent to which the Normans became Gaelicised tends to be exaggerated - they retained English common law throughout their time as a distinct community in Ireland, for example. By Elizabeth's time they were known as the "Old English", as distinct from the New English Queen Liz was sending over. The influx of the New English meant strong and violent pressure on both Gaelic and Old English communities (and on their land), and those two groups soon found themselves increasingly, and by necessity, in political and military alliance.
By 1689, when James II was raising his army in Ireland, his Old English supporters convened the Patriot Parliament, which (among other things) passed laws which would have restored the land rights of both the Old English and the Gaelic communities (even though there was no direct Gaelic representation in that parliament). But then James lost the battle of the Boyne in the following year, and the rest is literally history.
Following this decisive defeat, the Gaelic and Old English communities merged into a single population that developed the "Irish Catholic" identity that we know today. (Very weirdly, Old English or Norman names are more common among Fine Gael TDs, while Gaelic surnames are more prevalent among Fianna Fail parliamentarians - but there's no sign that this was deliberate, however).
This sounds like a derail, I know, but I think it's relevant because even though everyone is talking about decolonisation, coloniality, anti-colonialism, etc., there's an awful tendency to assume that all colonial histories are basically the same, and show the same basic patterns of conquest and rule, with the same basic results for rulers and ruled. This is a mistake - and in the case of what's happening in the former Palestine Mandate (a mandate, remember not a dominion, or protectorate, or crown colony, etc. - the difference is not trivial) I think it might be a fatal mistake.