The result was basically a giant hack on top of the existing systems by leveraging the authority that the member state governments have to act as agents of their state in carrying out their duties under treaties.
More and more power has been handed to the EU Parliament with various treaty changes etc., but there is a limit there in that ultimately without enshrining the power of the EU Parliament in the member states constitutions, it is impossible to cede the kind of power vested in the member state governments to the EU Parliament.
So the irony is that a lot of the centralisation of power in EU organs is a result of opposition to further integration. Pretty much nobody likes the current structure of the EU. The problem is people dislike it different reasons: Some because they want the power handed back to the individual states. Some because they want a federalised EU or similar.
The irony there is that Brexit might end up a catalyst for tighter integration, because the UK has been one of the biggest brakes on that process.
> I look at Switzerland and Iceland with envy - the people can achieve change there. The USA, EU, even UK? Not so much.
I don't agree with this. There are policy areas we can't easily change unilaterally, sure. But at the same time, when a change is agreed there is far more power behind it. Some policies only make sense to make at large scale, some makes to push down as far as possible. Ideally I'd like to see the end of modern day nation states through devolution of as much power as possible. But some decisions will still need to be taken at a higher level.
As it stands, in the UK there is still plently of power at the local level, and while I am very upset at Brexit, the UK at least has one thing going for it in an ongoing long lasting process of gradually devolving more and more power to local councils and regions.