Of course, the EU is not going to fall apart, but at best it will stagnate for the foreseeable future and we will be dealing with quite a lot of internal chaos.
In my experience of these things, parties which shout about dirty tricks and the like tend to do so because they fear a direct hit in some vulnerable part of their political anatomy.
Instead of saying that globalization is a fact, that it's inevitable, we've also got to demonstrate that while the growing interdependence of the world economy is indeed a fact, it's not uncontrollable.