[…]for use in order to help them win the cold war,[…]
The Cold War wasn't actually a war. There was no active warring between first and second world countries (capitalist and communist countries respectively). I feel what you intend is that the Soviet Union survives and the USA collapses. (Versus what has happened in our timeline, the USSR collapsed in the early 90s). Which in this case, "Gru-P" division is aiding the USSR to destabalise the US economy. (The USSR collapsed due to economical reasons… as well as a few other things, but economical is a major factor.)
How do you plan on telling this narrative from the Foundation's perspective? As your idea thread currently reads, this would be fine as a tale of a "Gru-P" Group of Interest Format.
[…]artificial temporal attractor field for use by division P[…]
How does the Foundation find out about this? Is this via emails that they found on a hard-drive at an abandoned -P office? Or dossiers at a warehouse? Why did -P create such a machine in the first place? How did the Foundation piece together the reason why they made this machine?
[…]sabotage the carrier of a rival[…]
Who is the rival? Whose rival is it? Where is this rival from? What do you mean by carrier? How are they sabotaged? What is the rival's relationship/past history with the protagonist? (I'm assuming that the rival mentioned here is the rival of Dr. Sokolov.)
[…]rivel falling into depression and alcohol abuse.[…]
What happened in the experiment that led the rival to do this? Why was the rival being experimented on in the first place?
He burns his research and the schematics and destroys the anchor[…]
What information survives that the Foundation discovers? How will the recovered pieces tell the Foundation what the narrative is/what happened to Dr. Sokolov and the rival?
[…]getting part of him stuck in thread space.
How does the Foundation find this out? What is Dr. Sokolov able to do to interact with the Foundation's timeline?
It ends with the interviewer attempting to recruit Sokolov to help the foundation develop such an anchor, Sokolov refuses.
Your thread up to now reads as Dr. Sokolov is already trapped in a type of temporal loop when the anchor et all are discovered by the Foundation. How is the Dr. able to communicate with the Foundation and how is the Foundation able to offer to recruit him at all?