Well the godful can be bigoted if they want to, but the term godless or atheist just means Without gods or Without god beliefs. Respectively.

I have been using the word atheist for decades in an attempt to take the hoodoo off the term, then atheists like Neil deGrasse Tyson just put it right back. The hoodoo, I mean. Sigh.

And sure the founders has their personal religions. But what they founded was, deliberately, not supposed to have a public one.