Joining him were several schoolmates and friends, most notably Valerio "Giusva" Fioravanti, Massimo Carminati, and Franco Anselmi, all of whom were frustrated with what they perceived to be apathy of the MSI in the face of "communist aggression".

[note 1] On 30 September 1977, a group of MSI activists ran out of the party offices at Medaglie d'Oro to chase after people who were outside distributing anti-fascist leaflets.

According to a subsequent testimony in 1981 by convicted neofascist terrorist and pentito Cristiano Fioravanti, he and Alibrandi, who were among the MSI militants, gave chase to twenty-year-old student Walter Rossi and killed him in via Elio Donato, with the same 9mm pistol which they passed among them.

[7]: 29  In his testimony as a pentito, Christiano Fioravanti later reported that NAR were never a "structured, hierarchical" organization "like the Red Brigades" and that the acronym was used by a number of neofascist armed militants for their actions.

On 28 February 1978, the third anniversary of the death of Mikis Mantakas, a Greek student and member of MSI's student front who was killed in a clash with left-wingers, Alibrandi along with other NAR members, including the two Fioravanti brothers, reached Piazza Don Bosco, near the Cinecittà district, where they ambushed a small group of young communist militants and killed Roberto Scialabba, an electrician worker.

[8] On 27 November 1979, Alessandro Alibrandi, along with NAR members Valerio Fioravanti, Giuseppe Dimitri and Domenico Magnetta,[9] robbed at gunpoint the Chase Manhattan Bank branch in Rome, while Massimo Carminati acted as getaway driver.

Straullu and officer Ciriaco Di Roma were driving in their car through the Acilia frazione, on 21 October 1981, when they were ambushed and assassinated by Alibrandi and other NAR members.

[19] Italian neo-fascists organized on 5 December 1998, on the anniversary of Alibrandi's death, a memorial concert in the far-right social center "PortAperta," which was also attended by his father Antonio and his brother Lorenzo.