The US government did not build bombers, ICBMs, or even the Apollo vehicles. All of those were specified by agencies and contracted out to the same contractors that exist today. I think the last thing the US "manufactured" was ammunition during the Civil War, as it owned a few shot towers, but even the vast majority of those were privately-owned and contracted by the US Army.
(Though I was thinking more of the research/planning vs actually mass production, that you're taking about. Especially as this discussion is about such as case too, considering it's software)
It's not that outrageous. There are government-run liquor stores all over the country, and even government-run grocery stores, most notably at every military base. The image here of one seems like a totally normal grocery store: https://en.wikipedia.org/wiki/File:US_Navy_020813-N-3642E-50...
At least that's how it was done back in the "golden years", post WW2, during which inequality was quite stable etc