And . . . That to secure these rights, Governments are instituted among Men, deriving their just powers from the consent of the governed, — That whenever any Form of Government becomes destructive of these ends, it is the Right of the People to alter or to abolish it, and to institute new Government, laying its foundation on such as to them shall seem most likely to effect their Safety and Happiness.
"Your" second paragraph only deals with changing government. Secession is not necessary to change a government, be it the Federal Government, a State Government or a Local Government.
As to the first paragraph: Okay. To expand on that a little, it could be said there is a God given right to secede (to dissolve the political bands) when it's necessary and when the Laws of Nature and of Nature's God entitle assumption of separate and equal station among the powers of the earth.
That begs the question "When is that?". An answer to that in regard to secession from the United States and dissolution of the perpetual Union would be: When all other means of resolving the differences have failed. There may be other answers too.
It has already been said. You just read it. But 7 of 10 people in the United States probably would not agree with that statement today. They run away from those kind of ideas. That is as foreign a concept to the average resident of the U.S. as buying a lunch for their own children.
Also, think on this. The federal government did not create the states. The states created the federal government. And the states create new states. And states create counties. Counties do not create states.
The only time I know of counties seceding and creating a state was West Virginia. But I think that was ok because Lincoln approved.