Sure, it can stand as a moral axiom on its own (and, heck, even when it is used in the context of a supernatural power, that's not really a logical validation/justification, simply another element of the story, and they still are independent moral axioms.)
OTOH, it makes the fact that they are moral axioms and not grounded in anything else a bit more obvious than the "God says so" version. Its pretty easy for people to reject bare moral axioms that other people offer.
A deist would say that humans inherently have those rights (from God), but that human governments and societies have illegitimately suppressed them. You (I suspect) would also say that human governments and societies have illegitimately suppressed them. But given that humans often have not enjoyed those rights, what basis (other than simply asserting that it is so) do you have for claiming that humans have those rights?
I gather that you find that argument convincing, but I suspect it's because you already accept the conclusion. To someone who does not already accept your conclusion, your argument is not likely to be very convincing.
> Do you think some people are born as subjects?
Yes, they are. Look at history; even look around today. It's not right, it's not moral, but it clearly is true that it happens.
I agree with you that people have inalienable or natural rights. However, I claim that your position does not give you an adequate basis for believing that. And your position certainly does not give you an adequate basis for persuading anyone who does not already accept it.
Perhaps I expressed this badly in my previous post, but that's what I'm trying to say.
Great. So what's your reason?
Yes and no. The point of the "inalienable rights" was that they were given to people by God, and therefore nobody - not king or president, not parliament or congress - has the authority to take them away. They may have the power to declare that we don't have them, but they don't have the legitimate authority to do so.
But now we (as a society) no longer believe in God, and no longer believe that we are made in His image. When that changed, "inalienable rights" (in the original meaning) died - except for those who still believe in God as creator of humans.