The NKVD Choir and Dance Ensemble was established in the Soviet Union in 1939. NVKD stands for the National Committee of Internal Affairs. This organization was responsible for deaths of millions of people within the Soviet system of terror. Later, as NKVD was renamed into the Ministry of Internal Affairs, the Ensemble name was changed accordingly.
Interestingly, there are two ensembles using the name "Red Army Choir". One of them is the proper ensemble of the Red Army, established in 1929 by Alexandrov within the organizational structure of the Ministry of Defense. The other is the NKVD Ensemble, later renamed into the Red Army Choir MVD Ensemble. MVD stands for Ministry of Internal Affairs in Russian. Of course it is odd to have two ensembles sharing the same name, especially since MVD is separate from Red Army.
Imagine for a moment that Nazi Germany had two choirs, Wehrmacht Choir and Gestapo Choir. Wouldn't it be odd to say "Wehrmacht Choir" in reference to Gestapo Choir? It would. So it is odd to use the name "Red Army Choir" in reference to NKVD (a.k.a. MVD) Choir.
When Poland was invaded in September 1939 by Nazi Germany from the west and by Soviet Union from the east, large number of Polish soldiers and officers were imprisoned in the Soviet Union. In Spring 1940 some twenty thousand Polish officers were executed by NKVD. The killing has been conducted over the course of several weeeks in several locations. The best known of them is Katyn in western Russia, where officers were shot on NKVD grounds by a single gun shot in the back of the head.
Pope John Paul II invited the MVD (former NKVD) Ensemble for a special performance in the Vatican on 15 October 2004 to celebrate the 26th anniversary of his pontificate. Among the songs performed that night was "Oka", specially composed in 1943 for the Polish communist division formed within the structures of the Red Army. That first division was the origin of the entire communist army and a symbolic beginning of the communist dictatorship in Poland. Since the concert's repertoire was agreed upon in advance with the pope, the inclusion of the "Oka" song was no accident. The pope was "visibly moved" during its performance.
The Polish pope repeatedly turned down requests to hold a religious ceremony to pray for the Polish officers murdered in 1940 by the Soviet NKVD. Inviting to the Vatican the ensemble representing the traditions of NKVD, Karol Wojtyła (John Paul's Polish name) unequivocally expressed his political sympathies.
The time has finally come to stop spreading lies, that John Paul II played a significant role in the "defeat" of communism in Eastern Europe.
Two points should be made. Neither was communism defeated, nor John Paul II was its adversary.