Yes, that's true. But I don't think you can really separate the various aspects since religion dictated the way we live and think and eat and dress, the way we marry and judge people and situations and interact socially. It has done so for thousand of years and for most people, it still does. If you go to the bottom of the issue, the State will tell you to carve room for your own religion, but religion never tells to carve room for the State. So I don't think you can really have both.
I agree with your POV but I don't think it is reciprocated by religious people.
I also think that when you move to a different country, you should be ready to compromise (unless you think you can change the other country, but in this case I wouldn't talk of emigration but of colonization) and often this compromise interferes with your culture/religion/beliefs.
Yes, but religon is not cultural, it does not define any one country. So, the people coming from other countries to a Western nation segregate themselves, often based on relgion, and I am not saying this is a positive. I am pointing out that religon is the big divide that prevents proper integration into another culture. My argument is that saying "western culture is better" is considered racist because it is untrue, and the people flocking to western countries are not doing so because of the culture.