Well I'd say you'd need to have followed a bit closely for context, which I admit is like swimming in syrup getting past the dross Jem and that other goof...what's his name... dump in here. Which is mainly them trying to deflect the issue as obviously they can't handle the connotations associated with it. Namely the position that inalienable rights cannot be God given.
Actually, inalienable rights can be God given, and can also be taken away by God. I think what the old boys were referring to was rights that couldn't be taken by other men.
Put another way, why did the founders as intellectuals, first not include any of those words as they wrote the Declaration documents, but then later, not use the word God, but choose the words "their creator" and "nature's god" instead? Incidentally nature's god is a Deist's god, which is basically not considered a God at all. Then eventually they became "their Creator" and "Nature's God. Which then magically morphs in the mind of the religiously ridiculous into "God"
I'd like to try to answer this one for you too. It seems to me the founders did believe in God, that is to say they believed in a higher being that is responsible for not only their existence, but also their moral integrity.
That is why they first say "Natural Law", then follow up with "Nature's God". They are saying there are rights given to men by the laws of nature, but there are also rights given to men from God (who created nature), and these rights are not to be taken away by man.
So if they were to elaborate I think they might say that Man has natural needs- food, water, air, shelter, etc.
But that Man also has spiritual needs- to serve their God and seek to have a relationship with God in the hopes that they may attain the entire fulfillment God wants for them.
The founders also believed that they should not give a certain name for God, as one of the key principles for the foundation of America was freedom of religious beliefs. They, like you Stu, understood that each and every one of us may have a different idea of What or Who God is.
As they didn't want to Alienate the masses from the Declaration, they chose to use the term "their Creator" instead of God, Jehovah, Jesus, Baal, etc.
Where I believe they, and so many others have misunderstood is: What exactly are our rights?
Let's face it, we don't have the right to anything but to die, and not one of us even has full control of our fate.
Perhaps we have the right to seek our God's wisdom, comfort etc while we are here, but this is a far cry from Life and Liberty. On the most important day of Jesus' life, he received Imprisonment and Death.
Can you imagine how many people would have turned their cheeks and ran if they heard something like "Man also has the right to imprisonment and death, if that's what God wants for you." ?