A similar problem is happening on French overseas soil with the Mayotte / The Comoros situation.
Mayotte is a "french" territory though it is part of the Comoro Islands. It is considered a wealthy country regarding the whole economy of the Comoro Islands which is pretty poor. Because of that there is a massive "illegal" immigration from The Comoros who seek french citizenship (and the benefits of it logically) by having kids on the Mayotte territory. It is both a case of life and death and cynicism because migrants from the Comoros really only seek to have a kid born on Mayotte (a part of those women are already pregnant when they come to Mayotte) soil so the kid can be French and have an education, a proper health system and mostly a better future. Mayotte people argue that this uncontrolled immigration is making crime rise and breaking the health system and making education harder for their kids because there are two many pupils then.
This is the reason there have been rallies and demonstrations in the last couple of years from Mayotte people to revoke the birth-right citizenship because of that.
It is said that Mayotte has like :
- 200K inhabitants
- 60K of them are from the Comorros (30%)
- 80% of the Comoros migrants are supposedly illegals which makes it 50K, aka 25% of Mayotte.
The birth-right citizenship which is a basic law in democratic countries and therefore in France can't be realistically overturned there because Mayotte is part of France. But it is true that the balance on those little islands welcoming illegals is greatly broken by those huge influx and inhabitants there voiced their discontent often (which seems to be the same with Dominicans and Bahamans).
Mayotte has a complex history (which I don't know the details of) because there are different ethnicities that lives in different Islands (it's always complex wherever this happens) but I don't know the specifics unfortunately. But when decolonization came in the 60s, Mayotte chose to remain French while other islands chose independence : the Comoros wanted Mayotte to be independent too considering that until then, many of the Mayotte people were (forced to) working there in the capital of the Islands. That led to deprive Mayotte of its male workforce and putting it into misery (from what I read) but Mayotte women wanted their men back (and others things) and chose to remain French because of that. And this is when the (current) issue between the islands started because the Comoros since then has known political instability, poverty and other difficulties while by remaining French, Mayotte experienced better times.
Regarding the Haitian people, there is also an immigration from them to other French overseas islands such as Guadeloupe and Martinique. And there were always badly seen by the inhabitants here (because of them being most of the time illegals, sometimes because they are seen as "less civilized" (for lack of better wording) and also because of their Voodoo, considering Guadeloupe and Martinique are deeply Christian places). I remember a guy named Ibo Simon who was an anchor and was making very anti-Haitian speeches live on TV when I was there. And that was like 15 years ago.