If only their political and policy actions lined up with their rhetoric.
And by the way, it's "nature and Nature's God."
When, in the course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth, the separate and equal station to which the laws of nature and of nature's God entitle them, a decent respect to the opinions of mankind requires that they should declare the causes which impel them to the separation.
When Jefferson begins to speak of rights, he invokes the Creator:
We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable rights, that among these are life, liberty and the pursuit of happiness.
Ryan was not trying to quote the declaration - he was offereing his interpretation of the underlying message.