Actually that is not quite correct.
Extract from a reply written on May 3,1994 by Cardinal Edward Casssidy, President of the Pontifical Council for Christian Unity,to an inquiry about the status of the Society of St.Pius X "... Regarding your inquiry (March 25, 1994) I would point out at once that the Directory on Ecumenism is not concerned with the Society of St. Pius X. The situation of the members of this Society is an internal matter of the Catholic Church. The Society is not another Church or Ecclesial Community in the meaning used in the Directory. Of course the Mass and Sacraments administered by the priests of the Society are valid. The Bishops are validly, but not lawfully, consecrated.... I hope this answers your letter satisfactorily."
Hence, Widely accepted would be more correct, than Universally.
And as to choosing between VII and SSPX....
Better to be a schismatic, than a heretic.
So, you, too, have left the bark of Peter?
An SSPX Mass is valid, though it is illicit to attend one, when an Indult or Novus Ordo Mass is available.
Gibson, apparently in a cynical ploy, used the Pope to try to get an endorsement for his movie.
The Pope leads an institution that Gibson no longer believes in.