Geoghan's attorney, Bryan Cameron of Sayville, entered not-guilty pleas on all three counts. Geoghan was ordered to return to court Jan. 7.
Cameron told Acting Supreme Court Justice Gary Weber that Geoghan called to complain about Cuomo's support of legislation that Geoghan believed would hurt the real estate appraisal business.
"This was a phone call made to a state office building," Cameron said in court. "This was all this was, was a phone call."
Geoghan does not own a gun, Cameron said outside court.
Geoghan's wife, mother and stepfather were in court. They declined to speak to a reporter.
Geoghan did not speak during arraignment.
Assistant District Attorney Edward Heilig said Geoghan has been convicted twice of driving while intoxicated and faces pending charges related to an alleged domestic violence incident. He said Geoghan posed a threat to Cuomo, even though the attorney general did not actually receive the phone calls.
"The threat was to shoot his head off as he drove on the Long Island Expressway, and this office takes this very seriously," Heilig said outside court.
Geoghan was held on $500-million bail when he was arrested Dec. 16. The bail was lowered the next day to $50,000.>>For breaking news, follow Newsday on Twitter
>>Friend Alicia P. Newsday on Facebook