I don't wish to prolong this argument but I've never doubted that the so-called Space Race was mainly politically motivated & regarded as a matter of national security by both govenments. It was not presented as such to Joe Public to avoid questioning the vast amount of public money involved. Much like flying, romantic notions of space travel have appealed to people for centuries. Comics were full of science fiction heroes like
Dan Dare when I was young & we could see the exploits of space adventurers like Flash Gordon every week at the Saturday morning flicks. This was the environment in the early 60s when the possibility of it becoming reality & a man actually walking on the Moon in the very near future caused a great deal of enthusiasm & excitement among ordinary people. Not only did they say they could do it but this would be during our lifetime & we would be able to see them doing it.* What a thing to be able to tell our grandchildren. "I can remember when the first man walked on the Moon & we watched it all on TV." It's no coincidence that the first NASA Space Shuttle was officially named Enterprise.
It seems a pity to me that all that expense & effort could not have been a joint project. However, if both sides had not considered it vitally important to keep abreast of the other I doubt the funding would have been available to achieve it.
I know you're very interested in space travel Richie & have no wish to contradict you. You know far more about the technical aspects than I ever will.