@ johnnysid - is the "political thoughts" blog you offer as a reference yours?
As to your last tranche of references The BBC do not believe Jack Jones was a soviet spy - they are merely reporting on the claim that he was, made by gordievsky.
The Daily Mail reference is simply a melodramatic retelling of the same claim, made by the same person - Gordievsky. It offers no additional corroborative evidence.
And, amazingly enough, your Daily Telegraph article is another retelling of the same claim, again with no additional corroborative evidence.
So, 3 references, from different sources, but all reporting the same story and offering no independent, corroborative evidence.
I have no idea whether Jack Jones was a soviet mole. It is certainly true to say there were elements within the Labour movement sympathetic to Soviet ideology, but to make such bald statements as yours, as a self evident truth, in the absence of anything other than 1 source is poor practice.
I may also be missing the point, but to claim,as you do in your last post, that the "New Labour" project was "extreme left" is just wrong, as any moderate lefty will tell you :) Tony Blair jettisoned many totemic leftist ideals, to the anguish of the left wing of the Labour party, and enthusiastically embraced several key centre- right ideas in an effort to gain the trust of the electorate and become electable. Or have I misunderstood your last post?
As to the last reference you offer - no specific comment to make except to say that what you are referencing appears to be a personal blog, not a definitive, objective evidence source. A brief review of the reference to Straw being a Stalinist links to yet another site, which again does not offer the original Straw letters, just says that arguments he makes were originally attributable to "Stalinists". Thats not evidence that Straw is or was a Stalinist at all! Thats just an offered opinion from a website, without offering original sources for reference and review.
Politics is a journey - it should never be viewed as a fixed position in time,with individuals incapable of changing their worldview. Many people become idealogically motivated in their youth, and attracted to Left wing philosophies. Life experience, work,and family will all impact and effect an individuals worldview, so to label mature politicians as "Trots and Marxists" purely on the basis of groups they may have belonged to as teens and young adults is just sloppy. They should be judged by their comments and actions at the time they are making them, rather than just dismissed out of hand as extremist lefties on the basis of youthful political ideology.