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human
[LOTR] Religion of Men/Hobbits/Dwarves?

I've not read the Silmarillion or anything so please forgive any errors in detail. So the mythological lens through which we view Middle Earth is obviously the universe's truth: that the world was created by Eru Illuvatar and his chorus of Valar, that Melkor fell from grace and became the ultimate evil in the world, and that Elves are the chosen of Eru Illuvatar and his first children.    
  
My question is this: do the non-Elven races of Middle Earth hold their own unique religious views about the origin and nature of the world? Do Men have their own pantheon of gods, or do they worship the Valar and Eru Illuvatar under different non-Elven names? Or, since Elven language has already been a wide influencer of Men, have they also adopted the Elven view of history? If so, why do they seem not to view the Elves as divine beings, since the mythology would obviously support that interpretation (they were literally created eons first, cannot die from age or illness, and often have access to some sort of magical or divine grace that the other races of Middle Earth lack)?
gpt
Sauron has turned several groups of Men in the Far East, South and even Numenor to the worship of Morgoth. In fact while Sauron was a prisoner on Numenor he eventually built a great black temple where the small remnant of Faithful numenoreans were burnt alive as sacrifices. 

The numenoreans at first had a holy temple to the Valar on the top of the highest mountain of the island, this place remained untainted during the darkness 

The Men of the Mountain broke their oaths to Gondor because they worshiped Sauron as a God

The Rohirrim favored the Vala Oromë the hunter who they called Béma 

The dwarves favored Aulë, their creator. And they kept secret everything he taught them because they found them so sacred 

Basically everyone in the west knows about the Valar and acknowledges them while everyone under Sauron's control acknowledges Morgoth as the true God, the Valar as charlatans and Eru a lie.