Unlike the US Constitution, the Confederate constitution mentions "Almighty God" in the preamble. Otherwise, it hews close to the US constitution in many places, including the 'no religious test' clause and essentially the First Amendment.
Anyway, to provide the rest of the background, some were giving Davis some grief for not referring specifically to Jesus in certain proclamations. And there was some widespread sentiment that this was because Confederate Secretary of State Judah Benjamin was a Jew. Two of these angry letters are also part of the lot: "Alas! that Jefferson Davis should fear a Jew more than he honors Jesus! . . . Sir you are . . . doing a gross wrong to a Christian people: above all insulting God by the Judaising [sic] of your very proclamation . . . to please a Godless & prayerless Sect'y of State!"
Anyway, Jeff's response:
"Many well-disposed persons do not understand the constitutional restriction upon my conduct... It might have been well that our Constitution should not only have recognized a God, as it does, but the Saviour of mankind also; that it should have had not merely a religious but a Christian basis. But such is not its character, and my oath binds me to observe the Constitution as it is, not as I would have it, if in any respect I should wish it changed."
A weak leader and rebel scum, but clear on constitutional principles.