If you want to 'solve' immigration, you need to look at the 90-odd per cent who come here on visas and ask why those visas are granted. I suspect the main reason is economic. The boat people are a relatively trivial minority, but inexplicably, all attention is focused on them.
As for shrinking the state, easier said than done. Of course, there is always waste that can be cut - even in the private sector! But I tell you this: if I had a painless way to remove waste that worked every time, I'd be a billionaire overnight, as the whole world would flock to me to learn my magic. It's about as easy as abolishing friction.
To make cuts is no doddle either. Look at the huge fuss made over removing WFA, a relatively trivial cut of between £200 and £300 to each household. Petty cash, really, and many in receipt did not need it. But you'd have thought the government had ordered the slaying of all firstborn children. Imagine that x 10, or maybe x 100!
You see, there are no easy options. I'd get shut of the entire royal family tomorrow, root and branch. That would save a few bob. But many people would not like that, would they?
What would a right-wing government go for? Simple, they'd destroy services, especially any that benefit the poor and relatively poor. And then when society fell apart, they'd blame brown people.