Bibilov is a member of the Parliament of South Ossetia, being the chairman of its defense and security committee, one of the senior leadership roles.
In 2019, as chairman of the defense and security committee, Bibilov condemned Georgian police for establishing a roadblock and checkpoint at the border near the village of Uista, calling the action a "provocation" and a violation of South Ossetian "sovereignty."
Bibilov reported the incident to the Incident Prevention and Response Mechanism, however, as with all the instances of Russian and South Ossetian forces establishing border barriers, did nothing to stop Georgian police.
[2] In 2020 Bibilov approved Konstantin Dzhussoev being named Prime Minister of South Ossetia after Dzhussoev was interviewed by Bibilov, and two other members of the defense and security committee, Robert Ostaev and Ivan Slanov.
Bibilov was presented by United Ossetia as a compromise candidate due to Bibilov's chairmanship of the defense and security committee, however, Alan Alborov, the founder of Nykhaz, was elected speaker instead.