I come after the battle but :
having religion specific civics was one of the catching things of FFH at the beginning (for me).
I liked to have to chose between the religion civic (sacrifice the weak) or another civic.
I mean, giving the civic bonus directly if you follow the religion would be OP : you won't have to abandon options for the other civics.
I think it is worthwhile to have civics you can get only while following a religion. I think it is also more interesting game-wise that chosing those religion-specific civic be at the cost of abandoning some options.
The only issue in base FFH is that the religion-civic is moslty a no-brainer. Thus you never need to think about following that civic.
My proposal would be that it is better than other civics of the same category (you are restrained to a religion...), but not by much. Or you gain something but lose something vital for this categorie.
ex : GON gives happy/health per forest-grove +another bonus, but loses in

: your economy is re-oriented from a

-producing civ to a eco-friendly civ. So you have to balance between : do I chose to lose all my ecomomic benefits from civics in order to have big cities or not ?
ex 2: arete : make that all "labor" civics save the default one have a way to rush production "slavery" "gold rush"... a way to make arete not a no-brainer would be to remove gold-rush for arete (you already maximise

) + give arete a bonus to compensate but you'll still lose the ever-important "gold-rush" mechanism.
..Etc