What does the Leave campaign truly want?

Basically, Leave voters want better controls over our borders. Not unreasonable, with the migrant crisis in Europe.

They seem to be motivated by a fervent xenophobic agenda which they seem to think, will roll back the years of decadence that they believe accompanied membership of the EU.

To quote current Republican sentiments, they wish to "Make [the UK] Great Again"

The UK is important enough in the EU to effectively lobby for an exception to migration law applicable to other member countries, so I personally don't buy that.

Cameron has.

Ummm, no he hasn't.

Sorry, I'll delete that, made a mistake. However, I maintain that the UK could still effectively lobby for an exception to migration law applicable to other countries.

There is no chance of it happening given that it is one of the fundamental aspects of the EU, the free movement of labour, there's basically no way of getting rid of it without leaving. There are of course some exceptions such as not being part of Schengen, but that goes nowhere near as far as people want because all it means is we still have a border, it does not stop that free movement.

Ok. But incentives could be manipulated to curb immigration. Such as, have to be a resident for a certain amount of years before you can apply for a job or set up your business, or rent a house etc...

Given how hard it was to get the meaningless changes we did get I doubt there is much chance of getting such significant reforms, the thing about the applying for a job is that what we want is that if they do come they do work, and I would have to ask the question, given you mentioned renting, do you expect them to either buy a house or be homeless with these sorts of proposals?

There are ways of theoretically sorting out the problem whilst in the EU, the difficulty is actually getting the necessary agreement for it.

Yes, you could require that they already have bought a property in the UK, which I guess would in turn solve the 'low wage economy' problem.

The point I was making was that theoretically there should be ways to create incentives so unfavorable that there would not be much to gain at all, nor would it be feasible to move to the UK.

The EU Leave campaign is rather old, and it appears to me that this movement represents resources that could have been diverted to lobbying for greater national border controls for non-schengen countries.