There are age and gender heirarchies built into the Sangha system described in the Pali Canon, and though a limited number and type of personal possessions are allowed for monks/nuns, other property is held in common.
Marxism is a mixture of theories about history and economics, not personal liberation. The individual is irrelevant in Marxism, the subjective perspective is absolute in Buddhism. One pledges unwavering loyalty to the State or the Party in Marxism for the welfare of the State/Party, one takes refuge in the Triple Gem as an aid to one's own development and the general welfare.