I was actually interested in this topic some time ago and found a very nice article on this topic here:
http://www.storiesofarda.com/chapter...2911&cid=11177
Very nice to read and pretty much sums up the situation in M-e with a quotation of Tolkien:
Quote:
“They [the peoples of Middle-earth] had little or no organized religion,” (Letters, p. 193-194)
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Of course more things could be said, such as mentioning the Dwarves, or speculating about the nature religion of the Druedain, but all in all, as also well said in the article, the Third Age especially was an age of spiritual downfall and would then be followed by a rebirth.