"Our external strategic objectives, as decided by delegates at our annual conference, are: ... 4) The closure of the Nuclear Power Industry."

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/

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.