-The SSPX is not in schism, at least according to the Holy See. In fact, the Holy See has stated that the faithful CAN attend SSPX Masses and fulfill their Sunday obligation if their intentions are right.
The problem with the SSPX is that Lefebvre consecrated four bishops against the will of the Holy See. This act of disobedience brought excommunication on them. Earlier this year, the excommunications on the four bishops were lifted---negotiations, the result of which is to be full, regular and canonical status, are ongoing.
-Thanks to Summorum Pontificum, the traditional form of the Roman rite has been established as free for any Latin Catholic priest to celebrate around the world.
Part of Pope Benedict's intentions for this document (aside from recognizing that the traditional form has never been abrogated) is to allow the traditional form of the Roman rite to exert an influence on the way the modern form is frequently celebrated.
It is all part of Benedict's program to fix the problems with the liturgical reform that followed the Second Vatican Council.
The problems mentioned in this thread (girl altar servers, celebrant facing the people, armies of lay "eucharistic ministers," vulgar modern liturgical music) are not things at all called for by the Second Vatican Council's constitution Sacrosanctum Concilium, nor by Paul VI's Missale Romanum (which established the modern form of the Roman rite).
These problems are not in the texts themselves but in a harmful inculturation of the liturgy. Many of these things began as abuses which were later tolerated (like communion in the hand and girl altar servers). I think the root of the terrible "deformations" (Benedict's words) of the liturgy as practiced in so many places is a kind of modernist-inspired New Iconoclasm taken from cultural changes in the broader society.
Under the guidance of the Holy See and with the advent of younger, more traditional bishops, priests and laity, things are changing.
The full restoration may take a couple of generations, but it is happening. Look at the significant changes so far. The numbers of traditional Masses offered regularly have multiplied by several orders of magnitude over the last 10 years, especially since Summorum Pontificum. Traditional orders are taking in so many vocations that they do not have room for them all. The modern Mass itself is being celebrated with greater reverence in many places, not least of all at the Holy See (where Benedict has forbidden anyone to receive Holy Communion standing or in the hand---of course this posture has always been an exception allowed to the universal rule which has never changed, the frequency of the exception notwithstanding). In the English speaking world, new (far more reverent and dignified) translations of the Mass are almost finished and will be in place within 2 years.
And beyond the Roman rite, things are also happening. For example, I am an aspirant to the Order of Preachers (the Dominicans). The Dominicans had their own rite, going all the way back to their founding in the 13th century. Along with other orders, the Dominicans abandoned their rite and adopted the new Roman rite at the end of the 1960s. However, the old Dominican rite is beginning to make a comeback. This summer there will be a major Dominican Rite conference out in San Francisco, with speakers from across the Dominican world and training sessions for friars (and, of course, Dominican-rite Masses).
Now, you may respond, there are a lot of abuses out there, a lot of "liberals" about (As Peter Kreeft likes to say, they used to be called heretics, but we're "nicer" now). Indeed---the crisis is still here. But Benedict's vision of a numerically smaller but more orthodox Catholic Church is slowly coming into being. The orders of the future are like those you see on EWTN (Mother Angelica's Poor Clares and the order of friars she established, the Franciscan Missionaries of the Eternal Word). These traditional and traditionalist orders (traditional and traditionalist---the main difference: celebrating the New Mass in a traditional way vs. celebrating the Old Mass) are the future because they are the only ones getting vocations. The same goes for the laity---orthodox Catholics are the ones having the kids. The "cafeteria Catholics" are contracepting and aborting themselves away.
The destructive and sweeping sociocultural changes of the later 20th and early 21st centuries have not been kind to any church. Do not think that the Orthodox churches are immune.