Your post seems to imply sedevacantism, which is not what the priests like those of the SSPX believe.
They, in fact, pray for the same Pope John Paul II and the local ordinary in their masses that the other priests of the diocese pray for. In fact, in some dioceses, they may be giving more honor to the Pope than the locals. I have seen in reported that in Milwaukee Archbishop Weakland (I don't even like typing that name) had ceased prayer for POPE John Paul II, and started saying John Paul II, Bishop of Rome in his mass. While doctrinally correct, he is the Bishop of Rome, I don't think that is point Weakland was making. His efforts to keep the Vatican out of his business in the name of collegiality are no big secret.
I feel it necessary to add that I, in fact, do not attend an SSPX chapel. My mass is approved by the local ordinary (whether he needs to or not is another argument, but it sure makes it easier on my conscience when he does). I simply do not wish to engage in attacks against the SSPX when there are so many others out there who actually dissent from Catholic teaching and remain "within the fold". Sooner or later, Our Lady's Immaculate Heart will triumph, and we will have much to thank Archbishop Lefevre for (I should also point out that he is largely responsible for the Church's growth in Africa during this past century, something he rarely receives credit for).