It seems to me that it was American tax dollars that got a man into space. The success of the American space program is pretty much still to this day the pinnacle of capitalist achievement.
PS: Since when is the US military considered a non-profit enterprise?
PPS: The internet was developed primarily by not-for-profit activities? I guess all of the innovation over the last 20 years has been done not-for-profit as well?
And it was bitching over appropriating American tax dollars that shut down the space shuttle program, and shut down NASA entirely during the Ted Cruz circus this past month. It was also bitching over appropriating taxes that caused America to stop production on the Large Hadron Collider that would've been done in Chigaco in the mid 90s, instead of waiting a decade later and having it open up in Europe. The rickety ass ships we sent up to the moon should've just been a start, not a plateau, in American Space exploration, but now our current system is going to be heavily reliant on advances made by countries who might be considered a lot more socialist than ours. What does that tell you?
The space program is not successful because of capitalism, and it had nothing to do with economic issues like capitalism or communism. The national atmosphere of "us vs them" that was pervasive at the time doesn't prove that the space race was actually an accurate, and fair, measure of which economic theory is better any more than Rocky 5 proves that America is better than Russia.
The technological arms race heavily depended on luck, and who got which scientists, after the Nazi engineers and scientists scattered across the globe. Not to mention the fact that considering both NASA and the USSR had gov't run space programs, their methods of engaging in the space race weren't very different to begin with.
In fact, according to wiki, there's more evidence that the USSR used a capitalist-type approach by contracting work out to several competing design groups.
http://en.wikipedia.org/wiki/Soviet_space_program
Perhaps the USA's success in the Moon Landing was because it had a more streamlined, socialist, approach that hasn't been replicated in this country hardly at ALL since then? As far as the United State's aeronautical contractors: They were notorious for giving corporate well-fare to the company best equipped to produce what they want. It's not really much of a free market example considering how much of a hand the Federal Gov't had in the entire lifespan of the company that it contracted most important jobs to. Rockwell was one of the ldest few "go-to" firms dating back to WWII. True free market capitalism would look a lot different I would think, but I have no doubt that a blend is probably the best way to go.
I view Space exploration circa the 1960's as a time when mankind got a brand new shiny toy out of the box and was captivated by it. It started a meaningless, arbitrary, competition with the neighbor from down the street, and once USA blew its wad getting to the Moon a few times and getting some cool Hubble telescope photos it just put it away and let it rot in storage. That's a decent metaphor for the current state of American space exploration. Capitalism is making going to space little more than one of many rich man's activities.
I do think capitalism in truly a free market sense would be beneficial for future exploration because getting to the asteroid belt and mining it would be a bad ass way to make ridiculous amounts of money and give loads of motivation for all the requisite technical advances.