We were able to split Atoms in 1940s. What do you say about that? A nuclear physicist, will tell you that the mathematics behind the process is capable to drive more than average person nut. Yet, USA did it in the 40s and were able to create the first Atomic Bomb.
Cars and bikes were made by private companies. Space Ships were made by the military scientists. Military scientists and projects are always more advanced and far more funded. Comparing those primitive cars of 60s to the USA Rocket Science of the same period is like comparing Africa to America simply because the names begins with "A" and ends with "a".
America landed on the Moon in July 20, 1969 and that's the fact.