The largest (in physical scale) conflict in "A Mind in Prison" is WWII, which is the war that the protagonist, Bruno Manz, fights in. The conflict that is the main focus of the book is Manz's questioning of the Jewish conspiracy as fact and what he has really fought for in the war.
Jews are being killed in concentration camps!?
That's where they kill the Jews
The first rising action in the story is when Manz joins the National Socialist Student Federation, which is a part of the Hitler Youth. He is initially baffled by the harshness of their phrases and chants. It is here where he develops his anti-semitism.
Nazism killed him, which is what we had been mistakenly fighting for...
The second rising action in the story is the point when Adolf Hitler is appointed Chancellor of Germany. From this point on, Hitler engages the nation in many conflicts.
The climax in "A Mind in Prison" is when Corporal Röper, a comrade of Manz, tells him the truth that he learned among battles with the Russians. Manz finally realizes that the Jewish conspiracy was just that, a conspiracy which had been used as an excuse to kill Jewish people.
The falling actions in the story are the hardships that Manz observes because of the Nazi party, which he had been fighting for for the most part of the book. The biggest is of Röper's death. He dies because of the sunken ship that was taking him as prisoner on death penalty for fleeing to Sweden. He became a victim of the Nazi party.
The book is resolved by Manz entering the US under Project Paperclip, which recruits German intellects for work on missiles. He can finally became a part of the peace and freedom that he had admired of America for years