Does not the Bull Ad Extirpanda claim the right to force the Catholic Church upon unwilling men?

No. In that document the Pope commands Catholic princes to prevent the propaganda of those who would publicly labor to destroy the faith of those who already professed belief in Catholicism. The word exterminate does not mean in its Latin significance that such men should be killed, but that they should be banished or expelled from the country. Nicholas I., a Pope of the ninth century, had already said, “The Church has no sword but the spiritual. She is here, not to kill, but to give life.” But she has to preserve the spiritual life of her subjects, and certainly has the right to appeal to the authorities in a Catholic state to protect their religious interests.

Radio Replies Volume 1 by Rev. Dr. Leslie Rumble MSC and Rev. Charles Mortimer Carty