You have presented the schismatic traditionalist line which the Catholic Church rejects. No matter what Vatican II said? Vatican II is an authoritative council of the Catholic Church. Read its documents and those of Pope John Paul II. Read Dominus Iesus. Put down the SSPX material.
First of all I am not denying Vatican II was a Council of the Church, but Pope John XXIII and Pope Paul VI made it clear is was a pastoral one, not a dogmatic one.
With that said I would like to say that your "put down the SSPX material" is hogwash, I said nothing that was contrary to offical RCC teaching. And plus I do not even attend an SSPX parish, I did some time ago, but no longer do.
The Society of St. Pius X is not schismatic, I will not argue this here, but PM me if you wish to discuss it further. This is a Catholic-Orthodox discussion forum, not one that I want to fill with debates over SSPX.
As for the traditional movement, there has been no condemnation by Rome. If anything Rome has given into time and time again, but not always for the right reasons, FSSP is a perfect example of this.
As to the Filioque, please read The Father as the Source of the Whole Trinity:
It is a DOGMA of the Catholic Church that the Holy Spirit proceeds from the Father and the Son, as ONE source. No one can deny this!
The 2nd Council of Lyons in 1274 makes it clear: "...we confess that the Holy Spirit proceeds eternally from the Father and the Son, not as from two principles, but as from one; not by two spirations but by one.
The Council of Florence in 1438 explains: "The Holy Spirit is eternally from Father and Son; He has his nature and subsistence at once (simul) from the Father and the Son. He proceeds eternally from both as from one principle and through one spiration. . . . And, since the Father has through generation given to the only-begotten Son everything that belongs to the Father, except being Father, the Son has also eternally from the Father, from whom he is eternally born, that the Holy Spirit proceeds from the Son
First Vatican Council, 1869-1870 "Dogmatic Constitution on the Principal Mysteries of the Faith" states: "For from all eternity the Father generates the Son, not in producing by emanation another essence equal to his own, but in communicating his own simple essence. And in like manner, the Holy Spirit proceeds, not by a multiplication of the essence, but he proceeds by a communication of the same singular essence by one eternal spiration from the Father and the Son as from one principle.
The Roman Catechism (The offical Roman Catholic catechism, 1566-1994) I.8.6. states: With regard to the words immediately succeeding: "who proceeds from the Father and the Son," the faithful are to be taught that the Holy Spirit proceeds, by eternal procession, from the Father and the Son as from one principle. This is a truth taught to us by the rule of the Church from which the least departure is unwarrantable on the part of Christians.
The Catholic Church has declared the Filioque a dogma, just like Papal Infallibility and the Immaculate Conception. To deny the doctrine of the Filioque in anyway is to place yourself in heresy, for the Catholic Church teaches, and always has, those who deny and reject the dogmas of the Church are in heresy.
Please understand that I'm not saying this to offend any Orthodox Christians, I'm just trying to point out that you can't be a Catholic and deny the Filioque, or think it can be shoved off to the side for sake of union.
I don't want to rain on anyone's parade, but it frustrates me to see dogmas shoved off to the side and redeffined for the sake of union.