You have tried most valiantly, but I fear you leave more questions than answers.
Freedom is often based on a more businesslike common-wealth rather than any spiritual concepts, and all that needs is that we each give up some freedoms, such as the freedom to rape and pillage, in exchange for membership of society.
On top of this, a fair society requires that no one is obliged to give up more freedoms than anyone else (Thomas Hobbes “I authorise and give up my right of governing myself to this man, or to this assembly of men, on this condition; that thou give up, thy right to him, and authorise all his actions in like manner.”).
In this contractual scheme, freedom in expressed as equal rights under law rather than anything to do with religion, and the contract allows us (requires us) to rise up against society if it is not free:
*"Whereas recognition of the inherent dignity and of the equal and inalienable rights of all members of the human family is the foundation of freedom, justice and peace in the world,
Whereas disregard and contempt for human rights have resulted in barbarous acts which have outraged the conscience of mankind, and the advent of a world in which human beings shall enjoy freedom of speech and belief and freedom from fear and want has been proclaimed as the highest aspiration of the common people,
Whereas it is essential, if man is not to be compelled to have recourse, as a last resort, to rebellion against tyranny and oppression, that human rights should be protected by the rule of law, …]" -
un.org/en/documents/udhr/*
I can’t help thinking that the Universal Declaration of Human Rights is a lot easier to explain and understand than the somewhat exotic requirement made by Dignitatis Humanae that all men, including non-Catholics, are “bound by a moral obligation to seek the truth, especially religious truth.”