It is. Education would not be sufficient for that unless you can program people with chips in their heads.
You then get a few people who produce something that is desirable and rare, start exchanging it for favors and you're on your way to a systemic collapse.
especially when statistically most of your peers disagree with you
There is not a single post-communist nation in Eastern Europe that feels anything other than hate towards communism on average. Its effects were worse than WWII.
Because the single only way to do communism is how the UdSSR did it, there's no other way.
It is, because one bad apple spoils the bunch if you don't send them to gulags. Communism on a large scale is not self stabilizing unless everyone is ideologically 100% onboard.
Communism is an economic fairy tale, not policy.
It would be nice if it were possible but with the current state of the world, it is not.
Social democracy is a reasonable compromise.