Plan of joinly going to space

As we all know the space race was one of the most important layers during the cold war. The race winner would be a victor in the conflict.

Unfortunately not many people know that both rivals were close to devoting more resources to go to space together. The plan was presented by the USA and the USSR almost accepted it, if not the assasination of president Kennedy. The Soviets didn't trust the vice president Johnson, so the whole operation was abandoned.