That would be unfair. As much as I dislike Kissinger, he did serve in the US Army during WWII.
I tend to think this is taken out of context. The Russians were not gassing Jews. They were making life difficult for those Jewish 'refuseniks' who were criticizing the Soviet state, and they did have a problem in that many of their best engineers and scientists were Jews who if given an opportunity would have moved to Israel in a heart beat. A lot of them defected when they had a chance, but they were not being gassed or murdered in mass.
Unlikeley. Dr. Strangelove was released in 1964. At that time, Kissinger had only been a Harvard prof and had served as a campaign adviser to Nelson Rockefeller's failed bids for the GOP presidential nomination.
Kissinger didn't rise to national prominence until 1968 when Nixon made him National Security Adviser. You're probably right abouth Kahn, and also W. von Braun and other German scientists we imported following WWII.