and then more information given with a Religion check or if your character is a cleric.
I've seen this suggested in the thread before but, please, keep in mind that there is a mechanic to give some class a bonus on some checks, it is the proficiencies. it would be rather unfair not to let everyone check, especially since you can make a priest which is not proficient in religion
I say this for the more information part, not all of it. There are already existing Religion checks in game since most characters would not know details about all the gods. I am only speculating, but I would think clerics would be taught a bit more about different gods and the DC should be lower for them even if they are not proficient.
No. The DC shouldn't be lower. That's not how it works. The skill bonus is what determines your characters' level of knowledge. So the DM determines how difficult the roll is based on how common the knowledge is. Your Religion skill determines how much knowledge and training you've received on the subject. A cleric with no religion skill proficiency is a poorly educated cleric or one who just didn't care to learn about other religions.
The only thing a DM might do is offer advantage on a roll of the check called for it. A Sharran or Selunite cleric, for example, would receive advantage on all rolls related to Shar and Selune since they are archenemies and both religions would receive lots of training on both.
