Attack of the Alien Apes

It was 1961 at the beginning of the space race where the Americans and the Soviet Union were in a race to see who could conquer space first. In order to pave the way for human explorers into space both countries started sending chimpanzees into outer space as a way of exploring but they found something very strange occurred, when the chimpanzees came back they were inhabited by an alien intelligence that has rendered them capable of speech and who intends to use their newfound bodies as a way of trying to conquer the entire planet but finding that there are many setbacks ahead in spite of the fact that humanity's entire scientific endeavors have reduced themselves to being a Dick measuring contest. Can the world be saved from these invading chimpanzeenauts in this sci-fi comedy?