I think ancestor worship would actually work well as a cleric of some kind (maybe UA Cloistered Cleric). Turn/rebuke undead makes sense, more sense for them than nearly any other kind, IMO.
Appropriate domains: Death, Luck, Knowledge, Magic, Trickery, off the top of my head.
And I wouldn't be afraid to have druids as clerics, ultimately. Maybe give them druidic restrictions, but a Cleric of Nature, with Plant and Animal or elemental domains, would make a lot of sense.
If you want to bridge the gap even more, use a Cleric with normal cleric domains, but druid restrictions, animal companion, and druid spell list.
Another alternative... drop one domain, but give the druid non-shifting related special abilities. That might be a little much. Mmm.
In short, I think it's a mistake to assume clerics have to be very 'westernized.'