Most right-wing conservative religion?

[Alcon]

Economically: Christianity

To be fair, Jesus did support extreme personal economic generosity, which could be interpreted as socialism if one believes government should be based off of His teachings.

[Alcon]

I would also add LDS (the Church of the Latter Day Saints -or simply the Mormons)

Good call.  They are definitely quite right-wing.

They're right-wing on government economics, but they don't mind having what could basically considered a liberal social system under their church (tithe goes to Church welfare a considerable amount).