It means we can do whatever the rest of the world does today (as long as it doesn’t conflict with the Torah). We can go to their sports and opera and movies, see their art, listen to their music. We don’t have to be different. We can wear clothes like them and fit right in. We do wear kippahs though and tzitzis. This is our own unique identifying signs, like the Muslims have turbans and burkas and the Christians wear their symbols.
We are all human beings, all the same, and the more we fit in and don’t separate ourselves, the more we will all get along together. Hashem doesn’t want us to standout like sore thumbs, to speak and dress differently, to use different names and do different things. That wouldn’t be right. That would be acting holier than thou.