But Jesus chose Judas who committed the worst of crimes, does that mean He acted against God's will and was without the authority of God? Following your logic that would be the conclusion. That some men in any assembly (ecclesia--church) fall short of the Gospel doesn't mean that the assembly is godless.
The arguments being presented for apostolic succession are objective and scriptural, not subjective (i.e "look at the holiness or unholiness of this or that priest/pope, etc."). Judas was an Apostle; but Judas was not holy.
"Now it came to pass in those days, that He went out to the mountain to pray, and continued all night in prayer to God. And when day broke, He summoned His disciples; and from these He chose twelve (whom He also named Apostles)." (Lk. 6:12-13).
God bless...
Jesus did not put Judas in charge of molesting Children. He chose Judas BECAUSE he knew that Judas would betray him. Jesus needed a betrayer in order that the prophecies would be fulfilled. Jesus chose him for that purpose.
By your logic these child molester Priests were placed there because Jesus wanted those children raped and molested. I think the better deduction is that Jesus allowed these people to be placed there in order that he could show the world the vacuity of the Catholic Priesthood.
“The arguments being presented for apostolic succession are objective and scriptural, not subjective”
No, it is a subjective interpretation of scripture; a reading back into the text a desired result in order to buttress a desired position. Nowhere in scripture is there a command or mandate for “apostolic succession”.