Good explanation by Rev. Smith.
Dear Clemens Maria, you and I have discussed this before, and I think we will just have to agree to disagree. I have given you some sources and the reasons for my perspective, each of us must make the best judgment we can, guided by prayer and study.
I'm not sure what the point of your questions is, since secular democracies and the Catholic Church have an entirely different hierarchical constitution. Let me answer the point about where canonical mission and ordinary jurisdiction are mentioned in Sacred Scripture.
Jesus gives the Keys to St. Peter, and explains the power to bind and loose in Mat 16:15-18. Theologians explain this is the power of jurisdiction. Our Lord shows it includes the power to excommunicate in Mat 18:17-18. Likewise, in Jn 20, the Lord connects the power to forgive sin with the mission He gives them, telling them that He sends them as the Father sent Him. St. Paul asks, How shall they preach, except they be sent? Already in the Old Testament, God had spoken in a similar way concerning those whom He had indeed sent and had not. The Church teaches that there will always be shepherds and teachers who were sent just as the Apostles were sent. Theologians understand this of the mission from the Pope, the means through which an individual receives the ordinary power of jurisdiction. We've seen the texts before,
"Rome was, more evidently than ever, the sole source of pastoral power. We, then, both priests and people have a right to know from whose hand our pastors have recived their power. From whose hand have they received the keys? ... If they claim our obedience without having been sent by the bishop of Rome ... they have not been sent, they are not pastors ... He moreover willed that the spiritual power exercised by Her pastors should come from a visible source. Our Lord (we say it reverently) owed this to us."
Succession may be material or formal. Material succession consists in the fact that there have never been lacking persons who have continuously been substituted for the Apostles ; formal succession consists in the fact that these substituted persons truly enjoy authority derived from the Apostles and received from him who is able to communicate it.
For someone to be made a successor of the Apostles and pastor of the Church, the power of order — which is always validly conferred by virtue of ordination — is not enough; the power of jurisdiction is also required, and this is conferred not by virtue of ordination but by virtue of a mission received from him to whom Christ has entrusted the supreme power over the universal Church.
I've explained the matter over which we differ before - the acceptance of the Conciliar Popes by the Church proves that they are not heretics, at least not public and formal heretics, because such acceptance is, as Wernz Vidal put it, "a sign and infallible effect of a valid election." This acceptance by the ecclesia docens proves infallibly the fulfilment of all conditions required for the validity of the election. The Society has mentioned this in its articles in the past, for example Fr. Boulet made reference to it, citing Cardinal Billot, in the article on sedevacantism. Beside this, the Society has mentioned the canon on perpetual successors and the problem with no bishop having ordinary jurisdiction.