Two errors here. First, Harzony seems to treat "Marxism" as an issue-agnostic attitude toward social structures. If you think of society as a team sport with team membership assigned rather than self-chosen, you're a Marxist. The rest is historically contingent detail.
Second, there are no meaningful analogies from sex to race. White men love their wives, mothers, and sisters. They may "oppress" them in some sense, but it is in a very different sense from that in which capitalists exploit workers or Whites exploit Blacks.
Sure, some men are pigs, but as a matter of identity politics, there is no Marxist case for feminism, which seeks largely to put female members of a class on the same footing as male members of that class, not to shake things up any more radically than that.
The founders of BLM are avowed Marxists who cite their Marxist training and ideology as central to their agenda. What scares non-Marxists is not the choice of issue, but the Reign-of-Terror implications of the movement's competitive worldview. "Silence is violence" is an Orwellian bit of drivel of which only a Marxist is capable. THAT is the "Marxism" that has appropriated race as its flavor of the month.
Are there factions in the Left? Of course. Not all leftists are Marxists, and not all anti-racist activists are Marxists. But BLM is a Marxist organization, and any mayor stupid enough to emblazon its names on a city street is a useful idiot.