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I just noticed this tweet from George Eaton, saying that at one point the Scottish National Party polled at 0.5% in 1955, the same as the Communist Party. In 2015, the SNP had a 49% polling in the run-up to the general election, and an ensuing electoral landslide.
Your challenge is to make the Communist Party the dominant political force in Scotland in 2015 and receive just as high approval and/or voting intention ratings. Bonus points for them achieving success via the ballot box, double bonus points if you can do it with a minimum of constitutional change to the UK, and hyper-mega bonus points if you can do it with the fall of the Warsaw Pact and the breakup of the USSR as it happened IOTL.