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NASA funding took a 90% hit because the space race was over. The next big benchmark was/is Mars, which would have taken another 15 years of funding NASA at intolerably high levels to even have an outside shot at, and since the Soviets were done competing there was really no way to secure public opinion. NASA seems to be serious about getting back to the Moon in the next few years though, and Space-X claims they'll put someone on Mars in 2026.
I think that if you take away the space race, or at least limit it drastically, there probably wouldn't have been manned Moon missions during the 20th century at all, which is evidenced by the fact that no country besides the US has even bothered to make an attempt. If you could compare the development of alien civilizations with roughly the same intelligence as humans, the advancement of flight from 1914 to 1969 would be an extraordinary outlier, like if the Romans had invented the steam engine and built some weird quasi-industrial economy.