For some, the only proof they need is the Bible. Some believe that all of these things did happen back then. That may not be good enough for you and me, but it is for them, and they might see it as analogous.
And according to Star Trek, Apollo was a real dude.
but again, it requires faith to believe the miracles of the Bible.(especially since modern archaeological and scientific evidence disputes parts of the Bible already)
But the stuff the Prophets do is witnessed and recorded and verified by many. That's why the parallels don't really work for me.
I mean, yeah, the "faith" part can be whether the Prophets are actually Gods or not, but not whether they exist or act in the galaxy.