The conspiracy that Fox missed (well, they do miss a lot) is called by its adherents "Alternative 3". Its promoters are shadowy individuals like Bill Cooper, a formal US Naval Briefing Team member with access to state secrets, who claims that an advanced American space presence is a reality. In Behold a Pale Horse, he reports that "A moon base, Luna, was photographed by the Lunar Orbiter and filmed by Apollo astronauts... I can say that 'Alternative 003' (a British TV documentary on this subject) is at least 70% true from my own knowledge and the knowledge of my sources."
When President John F. Kennedy stated in 1960's that the US will go to the moon in less than a decade, most people were extremely skeptical. The reason for this stemmed from the fact that USSR had shown more accomplishments in the space race after the launch of Sputnik, which was the world's first satellite. Naturally, the skepticism was unfounded, since the US put all of its efforts in to the Moon program as billions of dollars were put in to it. The development of the Saturn rocket as well as the development of the Apollo lunar module took less than a decade, since the whole heart and soul of the American public was put into the Lunar program. Even the various tragedies such as the loss of Astronauts in the Apollo fire tragedy didn't deter the public. As a result, 1969 was an important year in the human history as mankind stepped into Lunar soil for the first time. Sadly, the program was discontinued and since the 1970's, no man has even stepped into the Lunar soil ever again.
As of December 2015, confirmed liquid water in our own Solar System--excluding Earth--accounts for about 25 to 50 times the volume of our planet's water. The moons of our Sun's family thought to possess liquid water are: