My ex-husband got me to think like you are getting your wife to think. (He's an ex because he abused me, so this is not to suggest that your experience will turn out like mine.) I believe she is a resonable person and will in time follow you out. I hope the best with you two.
He asked me questions like, "Why do they not accept people if they can only afford dress pants and a shirt and not a suit? Why do they insist that you dress just like them and not accept you when you follow the principles of dressing modestly and respectfully?"
"Explain to me from the scriptures how Jesus could be the archangel. Is that the only conclusion you could come to by reading those scriptures?"
"When I was in the Baptist church, people were so much more loving and accepting. I was truely happy. Now that I have become a Jehovah's Witness, I find the people to be cold and they stay in cliques and exclude people like me who did not grow up here. I am a lot more unhappy."
I do not know how you could use these questions. I hope you could adapt them to your circustances or they will inspire you to some non-threatening questions of your own.