You can outsmart them goingthroughthemontions!
The first thing is to know that what you are facing is wrong. Many here identify and sympathize.
The second thing is to see if you can change things by what you do.
In quiet subtle ways (dont expect anything at first) begin to woe your wife. If you need help with ideas get a book or check out a website where women talk about what melts them.
Armed with ideas, apply them to your personal knowledge of your wife. If she doesnt like chocolate then dont buy her a box of them and expect a good result.
She loves wild flowers? Take her on a drive and pick some for her. Or go get some from a florist (they can order them)
Any personal indulgence she likes but doesnt ask for? Be aware of it.
There are many things that come up over the course of a marriage that can separate partners. Life threatening illness, financial reversal, fights over kids decisions and/or mates and so on.
At some point, every one of us has to decide to fight or throw our hands up or to just simply go.
You have come up against one of those situations and its name is religious differences.
If you dont care about winning her back then disregard the above!