Nice take actually. If you want to hear a ton of lennon alternate takes and home demos pick up the Anthology box set curated by Yoko. There is a fair amount of novelty stuff that you won't go back to but there are also some pieces of heaven. If you are a big Lennon fan like me you will love it.
I think Paul's "Let it Be" touches on similar sentiments, but is both wise and profoundly relevant. " And when the broken-hearted people living in the world agree, there will be an answer ....." The song is a hymn.
As for "Let it Be", you're right it's a "hymn" and a damn good one too. You hit on my favorite lyric and one that I think gets to the heart of some of the "movements" happening in society. The Broken Hearted people are starting to find their common voice. When this has happened throughout history, BIG things happen. -There's something in the air... no?
I bet a lot of people make the "smile" mistake :-)