Muslims have developed Islamic jurisprudence/law (their words) which leads to women's testimony being worth half a man's, men can divorce at will but it's practically impossible for a woman to do so,...etc
so, yes, there's no way any sensible person can decouple Islam from their behavior. I think these 'honor' killings that are part of their culture are reinforced and justified in their interpretation of what Islamic law is or should be. So, I think it goes beyond religion. Islam and these cultures are incompatible with any culture that separates religion and state, whether that's the West or China or any where else really.