The Public Theater’s Shakespeare in the Park production of “Julius Caesar” opened on Monday night under unusual circumstances: A firestorm of criticism from the right over the use of an actor styled as President Trump to portray Caesar, and then knifed to death as part of the story, led three major corporate donors to distance themselves from the show.

After the opening-night performance, and before the party that followed, Oskar Eustis, artistic director of the Public and director of the “Julius Caesar” production, sat down in the Delacorte Theater for a few minutes to answer questions about the matter.

[Read why “Julius Caesar” speaks to the politics of today.]

He noted that a few years earlier there had been an American production of the play in which Caesar was Obama-like, and no controversy had ensued. He also sharply criticized The New York Times for publishing a review of the play, which defended the staging, before the official opening. The Times cited the unfolding controversy as a rationale for doing so, but Mr. Eustis argued that the publication had become a tool of the outrage machine.

These are edited excerpts from the conversation.

What were you trying to tell us about our politics today with this particular staging?