You could probably make it work, a chaplain as a character, although I have my doubts that you could wrap a whole show around one.
To be honest, I'd be disappointed though. I found DS9 way too steeped in the Bajoran mythology, it became really tedious to watch. I kept wanting to skip the episodes focusing on all the praying and the priests with the earrings bickering amongst themselves.
I like exploration shows, whether it's technology, politics, science, culture. But religion? I think it's best left to a private dialogue between a person and whatever they choose to believe in. I don't find it interesting enough to tune in week after week to see how many different ways people in space can think of to pray.