Actually, for about a year, John Carver was the governor of Plymouth, and the communal idea was his. Upon his death, William Bradford was elected to replace him. Bradford was smart enough to understand that, such a system would not work.. Keep in mind, the original settler were of two persuasions.. THe separatists and various others, who may or may not be Christians.... food became scarce..
Bradford started right out, by granting a parcel of land to each family, whereupon, food became more abundant..
Much enlightenment was uncovered in England, when Bradford's 30+ year journal was found, and delivered to the Plymouth museum, at Plymouth
back in 1897.
Communism has been tried here since in small groups, e.g. The Shakers, The Oneida Community and the Amana community...all eventually failed..
Why don't some people never learn. "Those who do not learn from history, are doomed to repeat it." (George Santayana)