A charism is (1) a particular/special gift of the Holy Spirit (2) often given in the first instance to an individual member of the Church (3) before being shared with others, and (4) which prepares the faithful to undertake a particular task or office in the Church. A charism is given (5) for the common good of the Church, (6) and for the good of men and women in the world, perhaps through the meeting of a particular need; a charism is in this way at the service of charity. A charism might be (7) extraordinary, in which case it might be more particularly given to an individual, or simple and humble, in which case it is likely to be more widely experienced in the Church. A charism should (8) be accepted and practised by the person to whom it is given, (9) accepted and practised by others in the Church who come to share that charism, and it should be (10) discerned and recognised as authentic by the hierarchy of the Church.
 cf Catechism of the Catholic Church nn.798-801, 2003; cf Vatican II Lumen Gentium n.12, Apostolicam Actuositatem n.3; cf Paul VI Apostolic Exhortation Evangelica Testificatio n.11; cf John Paul II Christifideles Laici n.24.
The question I am really trying to ask of "traditional Catholicism" is: what is your charism? I ask the question subject to the view that, after Summorum Pontificum and the accompanying letter, I do not believe that it is possible to define this charism in terms of attachment to the extraordinary form.
I think the place where there might well be an answer to this question is in the constitutions (or equivalent formulations) of those societies or communities attached to the extraordinary form and in communion with the Holy See, particularly those that have received a canonical recognition from the Holy See. If anyone knows where these can be found, I would be grateful to be directed towards them.