The Parliament never had jurisdiction in the colonies.

The colonists revolted against the taxes the Parliament was imposing on them. That was the reason for the Boston Tea Party.

An invasion did occur once the King abdicated his authority and treated the American Colonies as sovereign powers, thus giving the new American states their independence

That's not what gave them independence. The Declaration of Independence was a declaration, not a request. The war ended the debate.

No, the American Revolution was in the hearts and minds of the people. The American War of Independence was the defense of their sovereignty and separation from the British Empire, which made war up them.

That's a fair distinction.

The American Civil War was initiated by an illegal rebellion

No, the southern states created their own country. Did you ever read the Constitution for the Confederate States of America? They formed a new country, just like the Revolutionists did the previous century.

argued that "secession" (unilateral withdrawal) was a political right

That's what the Declaration of Independence says.

that argument isn't supported by the plain reading or original intent of the Constitution

King George didn't agree with that concept either. So what?

It's a fundamental, human right -- one that is inalienable.