Sadly true, it's incredibly hard for non EU citizens (which is the first thing I'd like to change btw., I'd prefer a green card system like in the US). I don't agree with your second phrase however. I don't see why this kind of immigration policy is essential for the survival of this political system. A steered kind of immigration from everywhere, ensuring that those people actually agree with the spirit of that system, would actually make life here even easier.

edit: we have >20% immigrant population without citizenship btw. High crime from some of these groups is what lead to these immigration unfriendly policies. Direct democracy, sadly, doesn't eliminate stupid policies. (However I'd argue that it tends to filter out extremist ones).