On one of Apollo missions they've read from Bible, Book of Genesis [1]. I wish they did something like that here - and I'm not even a Christian, let alone religious. They did relay some beautiful message [2] though.
I sure hope they don't. Even just the hint of connecting this achievement to the supposed Christian nature of the US would reinforce a lot of the bad things in the world right now. Namely, that we're actively at war in the middle east (Christianity and Judaism vs Islam), in a burgeoning cold war with China (more Christianity vs "godless" communists), and run by an increasingly fascistic administration (the ties between religion and government are a hallmark of fascism).
no shared values exist to draw upon.