Not at all, there’s nothing about a soul, of mystical rewards in what I said. It’s simple understandable science. Barring birth defects and genetic oddities people come out with a range of highly predictable physical and mental attributes. AKA “equal”. Among those attributes are the ability (need actually, because physically we’re a pretty pathetic species and our survival relies heavily and clustering) to organize ourselves. And part of that ability to organize is the ability to see that the current organization sucks, time to try again. Don’t need any kind of God for that, every social animal on the planet has some form of ability to change how they’re organized.
The writers of the Declaration were not talking about equality of physical and mental attributes. They were asserting as self-evident truth equality of God-given, and therefore unalienable, rights.