They are both in the political arena, the parallel applies.
"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.--"
The mixing of religion and politics happens whether we like it or not, as both are mirrors of society. We just need the wisdom to understand that we should allow each other to believe the way we believe. That the civil rules we adopt do not stomp our respective beliefs.
Even though I am agnostic I can still respect the Pope's thoughts.