Seems unlikely, but what if the 1926 General Strike, the Invergordon Mutiny etc. did lead to the worst outcome anticipated - either a revolution (unlikely) or the election of a far left government in the UK which introduces welfare reforms etc. despite the poor economic situation. Ireland would probably follow suit, I'd think. Maybe forges stronger links with an even more leftist French government and, not knowing the evils of Stalinism at the time, enters into friendship treaties with the USSR with a view to check fascist nations?
With UK, France and Russia back in an alliance (of sorts) when a WW2 does in some form come about, the Nazi regime is less provocative and less successful early on and the war is won largely by just these three powers, forging a strong bond between them. No NATO formed. No US presence in Eurioe. No Soviet occupation of all of Eastern Europe.
Then we carry on through the 1950s-70s with a series of socialist leaning governments, forming close economic agreements with and still seeing the Soviet Union through rose-tinted glasses.
Probably bollocks, but there we go.