Interesting question. I think many religions would survive contact. Within the Christian Faith's of which I'm most familiar, the existence of aliens isn't ruled out and they are welcome to become Christian. We might even be the monk planet. Assuming the aliens look somewhat like us, it's not hard to extend "made in his image" to them too. However, even if the aliens look totally different many sects could accept them: remember that for many Christian sects, Israelites are god's chosen people but somehow Christian inherit that upon conversion. An alien could also convert.
The pagan religions could survive too, but might need some adjustments to account for other beings - but must pagan faiths are fine attaching to local phenomena and leaving the rest unexplained.
I'll leave the commentary on Brahmic thought to others more knowledgeable. Western new-agers would find the adjustment easy imo. So would atheists.
Of course, the aliens might bright their own beliefs too.
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Hi @eturnerx
I like your point of view, more peaceful and perhaps closer to what could happen in real life.
I'm sure many people won't like to know that aliens bring their own religion and try to impose it as many religions do here.
Statistics prove that there is already an acceptance of the premise of a possible existence of extraterrestrial life by many religions, or at least the most influential ones.
Thanks for passing by