Imagine no possessions
These are the phrases that remind us of communism. Churches and religion are discouraged, if not outright banned, in communistic countries. The STATE becomes the caretaker of the people; religion is a threat to the government.
The "no possessions" part is a no-brainer. By its definition, communism means "goods held in common," it's a "collective."
Now I don't want to offend or anything, and I don't mean this sarcastically, but are you serious when you say you don't see a connection between Lennon's song and communism???? Mind if I ask how old you are?
Nope, absolutely not. What are wars, crime, and fights in the world most often fought over? Religion, and possessions. The song is just saying "imagine" if these didn't exist, the world would most likely be a peaceful world. I am not saying we should get rid of them, (OF COURSE NOT) and he didn't either. It is just saying "IMAGINE" if they didn't exist there would be peace. Imagine is the main keyword in the song!
I guess we could pick apart just about any song lyrics and interpret them the way we see fit.