all men are created equal
This simply means no man is born a king. It's a rejection of feudalism.
inalienable right to liberty
This expands on the previous point by asserting that men have the right to govern themselves, and not a monarch, which is known as political liberty. The European monarchs of the time were quite dismissive of this concept, asserting that the subjects would never succeed in this.
Thus Free Men have a right to form governments among themselves and agree on the course of their actions without the interference of self declared rulers. This would include those who use their position to abuse their powers by going beyond them. This is called usurpation. For that reason, Mr. Lincoln was referred to as a usurper.
The fact that the South excercised rightful powers in pursuit of denying those rights to others not of their political nation doesn't negate the right. It just makes it a less than advisable excercise.
Perhaps you didn't understand the document, since you appear to have a pretense to royalty of your own. In psychology, this is known as delusions of grandeur.
For the record, the moment that the debate lapses into personal attacks, the conversation is over.
Be well.
Requiem æternam dona eis, Domine; In memoria æterna erit justus, ab auditione mala non timebit.
Beauseant!