Murray has contended that he is frequently mislabelled politically, and that the mainstream right are unfairly conflated with the far-right in modern political discourse: he wrote in 2020 that in modern politics "up is down, right is far-right". In 2017, Murray argued in "The Spectator" that the term 'far right' is used far too often by the political left. He also has said that political parties previously identified as far-right should be recognised as being able to moderate their politics over time but has criticised some European parties that espouse what he considers to be genuinely extremist or hard-line policies.