Actually, in the very last section of Ineffabilis Deus, Blessed Pius IX wrote this about what he hoped for with his declaration of the dogma:
...[I]n her who is the most excellent glory, ornament, and impregnable stronghold of the holy Church; in her who has destroyed all heresies and snatched the faithful people and nations from all kinds of direst calamities; in her do we hope who has delivered us from so many threatening dangers. We have, therefore, a very certain hope and complete confidence that the most Blessed Virgin will ensure by her most powerful patronage that all difficulties be removed and all errors dissipated, so that our Holy Mother the Catholic Church may flourish daily more and more throughout all the nations and countries, and may reign "from sea to sea and from the river to the ends of the earth," and may enjoy genuine peace, tranquility and liberty. We are firm in our confidence that she will obtain pardon for the sinner, health for the sick, strength of heart for the weak, consolation for the afflicted, help for those in danger; that she will remove spiritual blindness from all who are in error, so that they may return to the path of truth and justice, and that here may be one flock and one shepherd.
So, in a sense, Blessed Pius was invoking her to fight all heresies.
Looks like Pio Nono (fascinating character) was trying to bribe Panagia, otherwise, what could the IM possibly have to do with anything he calls on her to do?