Okey, so I played two games today to test the new and suggested Religious changes.
In addition to what's already been changed in 0.82 I edited the Specialist Priest and gave him an additional 2

to "simulate" his state after researching Theology and Divine Right.
I have attached two .zip files with save games from the seperate games.
The first one I drew Mongolia. I kind of crashed this game and I even "cheated" by working the 2

3

Priests before Divine Right. Needless to say at this point I did not feel that it was OP at least.
In my second game, which I'll give a bit more focus towards I drew the Zulu. Now, in this game I did something very different to my normal early build order. Popped a worker and then researched Mystecism->Polytheism-> (Failed to get Hinduism by 1 turn)-> Mining->Masonry->Organized Religon-> Founded Judiasm.
Then I actually started to build Stonehenge very early. My goal was to obtain Stonehenge so that my capital could start generating Great Prophet points with the intent of later bulbing Theology.
My strategy worked out reasonably well and after bulbing Theology I switched to Theocracy and started working a bunch of Priests (yeah, "cheated" this time as well, could not have waited til after DR, would have taken forever) so that I could get out a second Great Prophet in order to bulb Divine Right. DR is very expensive so one GP is not enough to bulb it completely (which is fine) and it took another 13 turns to research it manually. Once it was done I used the free Prophet for a shrine in my capital. The next Great Prophet actually bulbed Philosophy (did not know that was even possible, but I guess it was with the tech's I had at that point).
I also noticed nobody had built the Pyramids yet (only Monarch game now since I'm testing) so I decided to try and get it: success!
Now I was wondering what kind of effect running Representation would have on these Priests, would it make these buffed Priests overpowered?
Well, lets see:
This first image shows me running HRule with nothing but Priest specialists.
You'll notice that I'm pushing out 74

per turn at 100% slider and 0

per turn at 0% slider.
The stats show my city when running 100% slider.
In addition to the 74

the Priests are also contributing quite a lot towards my production giving my empire a total of 96

per turn.
Now, let's switch out all the Priest specialists with Scientists while still running HRule.
You'll quickly notice that I'm now pushing 138

per turn at 100% slider and 64

per turn at 0% slider.
I forgot to include this in the image but to keep afloat I have to turn the slider down to 10% (leaving me with 1:gold in the green per turn). At 10% slider I'm then pushing 71

per turn.
Running a setup with Scientists seem to only be beneficial if I come accross lots of gold. For instance if you sell techs to AI's after Currency this setup can still be rather good.
My empire's production is significantly reduced however, leaving me with 44

per turn. That's 52

less than when running nothing but Priests.
This shows that the Priest setup is quite strong and you can imagine that it would only become stronger once Angkor Wat is completed giving my Priests another 1
But lets move on to Representation (enabled by the Mids).
First image shows stats running Priests.
I'm pushing out 137

per turn at 100% slider and 63

per turn at 0% slider. Production remains the same as before.
Next shows Representation running scientists.
I'm pushing out 200

per turn at 100% slider and 126

per turn at 0% slider. Production remains the same as before.
The Priest setup just seem stronger.
There should be no relative difference between running Scientists or Priests under Representation. Having Representation early on is powerful regardless.
Conclusion:
This can actually be a fairly powerful economic setup; but it takes something special to reach it early enough. Considering that Divine Right is so expensive you're almost forced to partially bulb it and Theology lets you want to slag behind for a long time.
This setup also means you'll be making a lot of farms instead of cottages to suppor the 2

each Priest require.
The data above shows us that buffed Priests versus Scientists the Priests win out on the surface. But what we have not been able to see is where we would be if we had pushed out three Great Scientists at this stage and were running one or two Academies with Currency and a Buracracy capital.
Another thing to keep in my is that I pushed along with 2

3

Priests at Theology while it was supposed to be 2

3

.