Much as I like the idea, you've got to remember, most of these guys were military, & the handful, like Armstrong, that weren't were so square, you could cut yourself on them.
Even Shepard
(no, not
this one ) wasn't likely to say something really insane.
That said...
"Ground control to Major Tom..."
I like this one. However, shouldn't it be, "Ground Control, this is, uh, Major Tom. I'm on the surface, now, over."?
Of course, there's also, "I'm a rocket man!" (Or hadn't that been written yet?
)
"Well, Monsieur Verne, we made it."
I like it, but that's pretty literate, isn't it? And, of course, it begs, "Well, M. Melies, we made it."
On the OP: Unless something said was overtly political, akin to a claim of Luna for the U.S., I don't see it mattering what the first words are. It would be less historic, maybe, & it might, in retrospect, be seen as less inclusive, but I'm not sure it has enormous ramifications. (Which is to say, a "Major Tom" riff, frex, would appeal to a quite narrow social & economic faction of Earth's total population, which might be seen as shutting out the Latin Americans, Africans, & Indians, among others, who have no f*ing clue who Major Tom is.
)