I'm quite familar with the prayer, thank-you. I recite it after every rosary I pray and after every Low Mass I attend.
But it appears you are not familiar with the promises of Our Lady of Fatima:
If my requests are heeded, Russia will be converted, and there will be peace. If not, she will spread her errors throughout the world, causing wars and persecutions of the Church. The good will be martyred, the Holy Father will have much to suffer, and various nations will be annihilated. In the end, my Immaculate Heart will triumph. The Holy Father will consecrate Russia to me, and she will be converted, and a period of peace will be granted to the world.
FYI, Russia introduced legalized abortion and since then it has spread worldwide and continues this very day. Over a billion human babies have been murdered in what is supposed to be the safety of their mothers' wombs. You may think that the Consecraton has occurred when JP II consecrated the world, not Russia; but I don't think the Blessed Mother would call a period where over a billion babies have been murdered a "period of peace".
Modernism
Shrug. Priests and bishops were educated and formed in "Traditional Catholicism", swore an oath against modernism ... and then proceeded to engage in sodomy, heresy, and infidelity. Then they went to Vatican II with malice aforethought ... that council wasn't hijacked, it was a disaster from the beginning.
Sodomy is a sin. Poverty is not. Sodomites is Roman Collars can be identified and defenestrated. "Traditional Catholicism" failed to do this in the XIX and XX Centuries. We must do better in the future. The "Traditional Catholicism" of Pius V (which you have referenced) is a better model than the "Traditional Catholicism" of the XIX and XX Centuries, which was an abject failure.