This would be to say that the entire Magisterium has fallen away from God and therefore the Church - and Jesus being the Christ - is a falsehood. While the Latin Mass has been sadly suppressed as of late, it wasn't Church teaching which did that. The most recent example, of Pope Francis asking bishops to have approval for the Latin Mass in their dioceses, the wisdom in that is the unification of the Church. While his intention was maybe or maybe not great, it isn't evil for things that aren't Doctrine or moral teaching to change. Even the Tridentine Mass used is different than it was when Christianity first became legal in the Roman Empire. There are vestiges that we see are the same, through both the Early Church Father's and Scripture, even to the Novus Ordo.
As a bit of anecdotal evidence as well, it isn't like the translations for the Novus Ordo where pulled out of a hate. Theologians and priests worked for several years on it. I happen to have a child's missal from my grandmother, based on the date of publication for the Missal (it was only in print for a year or two, around the time she would have received her First Communion) and on her name on the inside cover being her maiden name (she got married at 18 or 19 in 1955), I know roughly when she got it (probably in 1948, when it was newly published, the copyright is from 1947). The Missal doesn't include any Latin in it, and the prayers which it has for the Mass, the explanations for it, are nearly identical to my English Daily Missal. It's after-Mass prayers which are included are the same ones that my Novus Ordo parish does. The order of the Mass in the midsal is identical to that of the Novus Ordo. Other than the language being old-fashioned for the descriptions, and the book being close to falling apart, I could use it for my own children at a Novus Ordo Mass. And it was published in the 1940s, well enough before Vatican II. Obviously this is anecdotal, but I think it points to the real and obvious problem that SSPX and other so-called Traditionalists have in their thinking, is that the Novus Ordo, done according to what the GIRM and Canon Law actually says, is NOT some heinous act against God. I live in an area that's highly populated (or used to be) by Catholics. I've seen plenty of parishes with poor catechisis, but it's not the average parish - nor even the Vatican of all places - which are making Offenses to the Sacrifice of the Mass the way they say is being done. And it's not so vastly different from the Tridentine Mass as they like to claim either.
Someone else said in a reblog that I think is worth mentioning as well, that the SSPX wants to claim they are a religious order - except religious orders DON'T ordain their own bishops. They don't even technically ordain their own priests. When a man is becoming a decon or priest and is part of a religious order, the bishop presiding is often also part of that order, HOWEVER, the religious order still has to ask the local bishop for permission to do so, and the visiting bishop acts, not on behalf of the Order or as himself, but on behalf of the local bishop. When the brothers are making their promised, either for the deaconate or priesthood, they promise their fealty not to their brother-bishop, but to the bishop that they are serving under. It is similar for the bishopric. When a member of any other religious order becomes a bishop, it is the decision of someone outside the Order. There is absolutely ZERO precedence for a religious order just deciding to ordain their own bishops. As well, the Vatican has jurisdiction over every religious order, and has for quite some time. The Vatican makes the rules about what rules certain types of groups have to follow, like whether or not habits are certain lengths, if they must be worn or are optional, etc etc. This isn't an over-step for the Vatican to say "you can't ordain your own bishops, that's never been how this works".
Further on this point, you don't see any religious order older than the SSPX ordaining their own bishops, and they never have done so, without being also excommunicated. Yes, Pope Leo is an Augustinian, but he didn't become a bishop/cardinal because the Augustinians decided it, he would have been asked to serve from other people that weren't even part of the O. S. A.