Presinzano was a capo in the Bonanno family and served under infamous crime boss Joseph "Bananas" Bonanno. Every mobster in New York knew him as "Moe" from the lower east side. He owned a big mob hangout called "The Paris Bar & Cafe". His brother Frank was also became a high ranking mobster in the Bonanno family.
On August 30, 1930, Presinzano, along with Michael Consolo and Carmine Galante, were arrested and indicted for the murder of police officer Walter DeCastilla during a payroll robbery. However, all of the accused were soon released due to lack of evidence. Presinzano would serve as the best man at Carmine Galante's wedding in 1945.
Presinzano had a rap sheet dating back to 1927 for rape, homicide and violations of the narcotic law. He was, later in life, big in the drug business, which was par for the course with many of the members of the Bonanno crime family. Presinzano was very good friends and closely associated with notorious crime boss Carmine Galante and was a mentor and close friend to Peter Monteleone. Presinzano was said to have known and mentored many up and coming Bonanno mobsters such as Benjamin Ruggiero, Sally Burns and several others. Incorrectly Presinzano reportedly died of a heart attack in late 1977; according to Mafia Membership Presinzano was with his cousin Carmine Galante last meal-but left due to a stomach ache and died later 1979.