A fight over Israel is fracturing the socialist movement just as it stands within reach of capturing the Los Angeles mayor's office.

Why it matters: The same socialist movement celebrating its ascendancy through New York City Mayor Zohran Mamdani is now debating whether to disown Nithya Raman before Los Angeles voters can even weigh in.

National Democratic Socialists of America (DSA) leaders face demands to overturn the local chapter's endorsement of Raman over her position on the Boycott, Divestment and Sanctions (BDS) movement against Israel.

The Los Angeles chapter of DSA still enthusiastically endorses Raman, arguing Angelenos deserve a functioning city government.

The mayoral race has been defined by homelessness, affordability and public safety.

By the numbers: Raman leads incumbent Mayor Karen Bass in recent polls ahead of the Nov.…