Your argument is hilarious due to its fallacies.
Maybe private industry didn't go to the moon because there was no compelling business reason to do so. I guarantee you if the government had said "We will give a 200-year exclusive settlement and mining rights to the first corporation to land on the moon", it would have been done faster and cheaper than the government did it.
Maybe the government insists on maintaining its monopoly on road infrastructure and won't allow private roads to be built. Or maybe private industry has no interest in doing it, because the costs to generate revenue from it outweigh the revenue.
Government responds to different incentives than private corporations do, so of course in many cases they do jobs that private industry won't. Being a monopoly or taking on revenue-negative work doesn't mean that the people doing that work are at the top of their field.