In the first generation, yes, I think there is a right to retain a sense of belonging.
Australia counts almost 50% of its population as either new immigrants or their first generation descendents. In general, these kids are raised with one foot in each camp. They learn their parents' language, culture, faith and values at home -- and their new country's language, culture, laws and values at school, on TV and through the media, sports and exposure in public places. This dual identity is often experienced as problematic, especially if some of the locals in their adoptive country are prejudiced against them.
Most European countries accept the first generation descendants as having a right to citizenship and a passport, and automatically accept them if they choose to return to Europe permanently.
I have a British passport, studied in London, and could go back anytime I chose. Despite many wonderful things about England (cultural diversity, architecture, language, arts, etc), it's not a place I'd want to return to. The sun only shines 12 days a year. The rest of the time it is grey and bleak. For 9 months of the year it's miserably cold. The cost of living there is astronomical. And the density of the population means that there are huge social pressures; one has to stay street smart and constantly on alert just to survive - at least in London. I dare say rural life would be a lot more relaxed.