MKMVA president Kebby Maphatsoe said the call for Zuma to step down must be avoided by the newly elected national executive committee (NEC).
NDZ's campaigners say there is an international attempt to block her ascension to the presidency of the ANC.
The rifts were most glaring when MKMVA president Kebby Maphatsoe slammed rival groupings within the organisation during a media briefing on Monday.
This is the latest in the to-and-fro between warring MKMVA and MK National Council members.
The ANC NEC to deal with those who voted to remove Jacob Zuma.
"We have also decided to increase the NEC to 32 in order to accommodate more women."
The MK faction led by veterans like Siphiwe Nyanda is trying to deliver a message to the ANC. But the party doesn't have a history of listening.
High profile recipients Dudu Myeni, Hlaudi Motsoeneng and Brian Molefe didn’t pitch