The US planted the US Flag and publicly proved the Moon is a US territory by so doing. IF the Chinee want to fight over that, or Islam or anyone else-— then bring it. They haven’t the capability to sustain the ownership— and we will not let them. They, as a form of government of a country, will not make it, just as the Soviets fell into the disorganized group of oligarch thieves, which will not survive either.
Please read post 18. We signed a treaty in 1967 prohibiting anyone from claiming the moon. I remember this being specifically mentioned during the Apollo missions. Red China didn’t sign the treaty.