Culture is important, but history and context are very important too. For example, it explains well why the US thrived economy post-WWII almost immediately while it took time for European nations to catch up.

Moreover, it sounds like there's a jump in logic in your post. Immigrants don't export their culture usually, they mostly adopt the new country's culture for the most part. Certain things are retained but people who've never immigrated before don't realize how much moving to another place changes you.