The shadow of President Donald Trump, who broke the Republican establishment and then the nation’s politics over the last decade, is darkening New York City’s mayoral race as polls show New Yorkers overwhelmingly see the city going in the wrong direction.

The primary contest has been one of New York City’s most chaotic in recent years. It effectively began last fall with the federal corruption indictment of the current mayor, Eric Adams, a Democrat. The Trump administration later dropped the charges, but Mr. Adams opted out of the primary to run for re-election as an independent.