Wow, she went from Muslim to Buddhism? I'd guess her family didn't take too well to that... I'd suspect there's something more to that than just so your D8 did not have to "go through the difficulties" of learning Arabic and the Koran. I'd guess that any kid that has to do that just considers that "normal".
Do you get a sense that your W is disowning her family and prior culture, or is her family disowning her?
What culture was the man she had an A with?
If you believe your W has embraced Buddhism, then I think it would be a great idea for you to investigate that. Have you also converted to Buddhism or renounced Muslim?
As far as the music? OMG! Elvis has entered the building!
I'm telling you, there's a reason why Elvis impersonators, David Hasselhof, and Michael Jackson made huge money! The Asian culture eats that stuff up! Good for you! Yes, Americans still have an edge on that market over there, IMHO. Even though there's many Asians who do an amazing job with that stuff.
Yes, you have access to the internet and so any of the online "self help" and "teach yourself" stuff could work for you. The only downside is, your only feedback will be during a performance. Just keep at it.
I'm guessing your W had a traditional, Muslim Asian upbringing? That's based on your suggestion of the economic description of where your W is from.
So again, do you get a sense that your W is rebelling against her culture and her upbringing?
I think you are really seeing some fine points to the culture and the cultural differences. Your "Western" philosophies would be frowned upon by the locals. If the community is small, they may all have an opinion of you, not just based on your skin.
"When in Rome...", they say.
Even if your W is rebelling, she may also be seeking that cultural familiarity and tradition that you are either unwilling or unable to provide for her. She could have been intrigued by you when you met her and so she chose to M you. Yet still have deep desires to be more traditional.