Canon Law is the Catholic church, not the Bible.
All of the verses you cited are correct Scripture:
http://www.kingjamesbibleonline.org/Bible-Verses-About-Excommunication/
However, none of them give the authority to Francis to deny someone Heaven or Hell.
Let's start with the first few you listed:
2 Thessalonians 3:14 - And if any man obey not our word by this epistle, note that man, and have no company with him, that he may be ashamed.
That doesn't say that a man (any man) has the authority to kick someone out of the presence of Heaven, forever, does it?
Let's take the next:
1 Corinthians 5:5 - To deliver such an one unto Satan for the destruction of the flesh, that the spirit may be saved in the day of the Lord Jesus.
God's Authority, not Francis. And NO - he is not the Authority of Christ on Earth - Jesus Christ retains that Title, thank you very much.
1 Corinthians 5:1-13 - It is reported commonly [that there is] fornication among you, and such fornication as is not so much as named among the Gentiles, that one should have his father's wife.
Paul is pointing out problems of sin within the early church, and how it must be confronted, confessed, so that it might be forgiven. Where do you get "excommunication" from this?
Matthew 18:15-20 - Moreover if thy brother shall trespass against thee, go and tell him his fault between thee and him alone: if he shall hear thee, thou hast gained thy brother.
Wonderful words from Christ regarding confession that leads to the forgiveness of sin through Jesus (who is the only one who earned that right). Nothing about "excommunication" here, is there?
Romans 16:17 - Now I beseech you, brethren, mark them which cause divisions and offences contrary to the doctrine which ye have learned; and avoid them.
It says to avoid sinners. Where does it say that one man in a robe has the authority to condemn someone to Hell?
Proverbs 25:26 - A righteous man falling down before the wicked [is as] a troubled fountain, and a corrupt spring.
Yes - sin is bad.
2 John 1:10 - If there come any unto you, and bring not this doctrine, receive him not into [your] house, neither bid him God speed:
Sin is bad, and so are sinners. Still waiting for the verse where Francis gets to decide the First or Second Death, or the Great White Throne Judgment...........
Matthew 4:1-25 - Then was Jesus led up of the Spirit into the wilderness to be tempted of the devil
Great verse about Jesus....applies how to your argument?
2 Chronicles 17:1-19 - And Jehoshaphat his son reigned in his stead, and strengthened himself against Israel.
Again, ? This speaks towards the sin of the nation of Israel, and how (again) ALL sin is bad. It give ZERO authority to Francis concerning anyone, much less an organization.
You see - you still don't get it. Francis (not his real name) did this for PR and political purposes. He did it to enhance himself. The "Mafia". Really? Who is that? He condemned "THEM" to Hell? First of all, he does not have that Authority. And if you believe he does, you are WAY off base Biblically. Second of all, are you saying that NO person who belongs to an "organization" that he condemns and "excommunicates" can come to Jesus Christ?
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I guess he hasn't had the time in his busy schedule to read this?
"26 Because of this, God gave them over to shameful lusts. Even their women exchanged natural sexual relations for unnatural ones. 27 In the same way the men also abandoned natural relations with women and were inflamed with lust for one another. Men committed shameful acts with other men, and received in themselves the due penalty for their error. 28 Furthermore, just as they did not think it worthwhile to retain the knowledge of God, so God gave them over to a depraved mind, so that they do what ought not to be done. 29 They have become filled with every kind of wickedness, evil, greed and depravity."
Romans 1: 26-29