Noted, but to the extent the Soviets may have aided the CND -- their interest seems to have been in its pro-disarmament, rather than its anti-nuclear industry stance.
If we go by the article you provided (and I am skimming it properly) - it doesn't mention nuclear power at all.
Nuclear power is not, as a photograph of a banner on the CND's website tells me, the answer to climate chaos.
https://cnduk.org/about/aims-and-objectives/