Oh dear. You clearly have no idea what you're talking about. The islands make money from sheep, tourism and fishing licences (£15-25 million a year). Sorry if you don't like their immigration rules. As for self-detemination, wait until next month and all will become clear - in case it isn't clear enough already.
I would be pragmatic and offer all the Falklands a better house/ job somewhere in the beautiful roomy UK and make a deal for those that want to stay.
The vast majority of the population (in fact every islander I've ever spoken to) want to live in the Falkland Islands. It's their home. Many move from the UK to the Islands. They don't want to be moved back here.