> given strict immigration controls
Why is this the case? I hear this come up time to time, but the only case in which the American working class actually is having their wages lowered by foreign competition is through global trade, which does not need to go through immigration control. In fact, if anything, making it harder for poor workers to move to rich countries guarantees that poor countries will always have a supply of underpriced manufacturing labor to do arbitrage on, and that's what actually happened since America switched from the pre-1970s "high tariffs and whites-only immigration" regime to the post-CRA, post-Reagan regime of "low tariffs and restrictive immigration unless you have family that can sponsor you".
You're entirely correct that the elites see us as cattle, but the whole point of immigration control is to keep your cattle in fences. The elites can always buy their way into a country - in fact, most countries have "immigrant investor programs" that make this an official, on the books thing that anyone with enough capital can do. So if you want to oppose the power of the elites, you need an immigration policy that benefits the people - i.e. one loose enough that the average person can move to another country as easily as one moves to another state.