Everything I’ve seen with Catholic dialoguing seems to be with the purpose of promoting mutual respect and ultimately leading people to see the truth of the Catholic Church.
Lol! Are the Church's "dialogue partners" told that? Do the leaders of the Jewish Community in Rome know that the Pope "dialogues" with them in order to convert them to Catholicism? Then why are they participating? Do you think they would if the Catholic Church were honest about why it participates in "dialogue?" So since they are participating are they being misled or lied to by the "one true church?"
All the same, the only religion that has ever compromised in all these dialogues has been the Catholic Church itself, which incorporates almost every liberal criticism into an internal change of some sort (only the first eleven chapters of Genesis being "mythology" seems to be non-negotiable).
Exactly how do the idols of the Assisi prayer gatherings teach hindus and animists about "the truth of the Catholic Church?"