Not good history there. The Catholic church did execute concordats with fascist Italy and Germany, but these were definitely arm's-length agreements whose only purpose (from the church's side) was to secure some basic operational rights in hostile political environments.
In Italy, the Lateran treaty with Mussolini established the Vatican city-state and closed the book on issues, such as reparation for the seizure of the papal states, going back to 1848.
In Germany, the church was more or less officially in opposition to the state since the Kulturkampf of Bismark. In the face of the much more aggressive ideology of the Nazis, the Church did waffle a bit in signing the Reichskonkordat of 1933, but it can be argued that the terms were the best available. It should be noted that it was only the Catholic-majority areas of Germany that did not endorse Nazi rule in 1932.
In neither case could it be reasonably argued that the church and fascist states were "allies".