Do We have a Right to Know What Our Candidates Believe?

Interesting article by Brian Carlson, my former teacher of one of the most influential classes I took during school . He wonders, while church and state may be officially separate, do we have a right to know the specific beliefs of the candidates for the Presidential seat?
Do We have a Right to Know What Our Candidates Believe?

Personally, I think, while religion may not be connected to state, we DO have the right to know, especially when that person may be basing decisions on those beliefs. reminds me of a quote from  the movie "Contact" (I didn't think I'd EVER quote that) :

Our job was to select someone to speak for everybody. And I just couldn't in good conscience vote for a person who doesn't believe in God. Someone who honestly thinks the other ninety five percent of us suffer from some form of mass delusion.

Now i don't take that as meaning that we should elect a religious President, but it brings up an issue...can you trust someone to lead you who fundamentally believes something that you do not? Can they really represent you? If you're religious can you trust a President who is atheist, a different religion or more extreme? If you're an atheist, can you put faith in a President who holds religion dear? Can we get over specific personal beliefs, vote for the "greater good" and just look for morals or does a candidate have to match our every word in prayer (or against it for that matter?)