No, it's not. The particle accelerator altogether is irrelevant. The cold equipment in the coils is what's relevant. And the physicists working on the accelerator. But not the accelerator. You set about to discover one thing, you end up discovering something else. Welcome to the realm of research.
I honestly don't understand what you're saying. First of all, if all you care about is the cold equipment it'd be much easier to just build your own supercooled super conductor than to use the LHC's... Also, if you meant doing fusion experiments with the equipment at the LHC would mean being able to use the physicists who work on the accelerator, that's just wrong. The physicists working with the LHC aren't just assigned a random research project by some administrator. They are all working either with a research group or on their own individual projects... They are doing research that they choose to do.
By the way, the reason those ceramics superconduct is because there are phonon changes in the electrons, causing them to attract to one another. In the same way, it is very much theoretically possible to invoke quantum mechanic changes to induce protons to attract to one another as well, thus causing zero-energy fusion of H+ ions (save the cost of supercooling).
That's all true, but it's only a small part of the story. For one, the electrons in superconductors are essentially unbound. I don't think there has ever been an observation of a similar situation in which there are free protons floating around inside a material. In fact in order to create an analogous situation using protons instead of electrons, you'd need to create a lattice structure with negatively charged nodes - in other words negatively charged nuclei. As far as I can think of, the only way to do something like that is with antimatter, which is obviously impractical (impossible with our current technology, really) and dangerous. And it still probably wouldn't work because protons do not behave the same way as electrons. Yet another problem is that p+p -> 2He is going to require a net input of energy, considering 2He is not even remotely stable.
And yet another problem is, yes Cooper pair electrons are attracted to each other due to phonon exchange, but only weakly as a result of phonon exchange; the key word is weakly. Even assuming it were possible to create a 'reverse' superconductor with free protons, and even if p+p -> 2He were exothermic, and even if the heat generated wouldn't break the superconductivity, the probability of any of the proton pairs fusing would be amazingly miniscule. The attractive force in Cooper pairs is weak; the attractive force would be overcome by the electromagnetic repulsive force long before the particles could get close enough for the strong force to take control.
Don't get me wrong, if someone were to prove me wrong, or provide me with a workable hypothesis for achieving fusion ignition in superconducting materials I would be ecstatic. For one, if somebody pulls it off it would be an enormous leap forward in physics and would involve lots of new ideas. Not to mention the fact that if somebody figures it out we'd finally have our fusion powered world.
I don't much want to think about the cost of planning for the remote possibility of an accident bad enough to breach a container. Especially given the modern tendency of many parents to expect every school to keep every child absolutely safe from everything.
Well we already are capable of building containers that are effectively invulnerable. I was watching the History channel the other day and I caught the end of a show about... I'm not sure what. But they were demonstrating the fortitude of this giant barrel-looking thing (very big - maybe the size of a small train car). They rammed a train into it, dropped a giant concrete block on it from way up high from a crane, and tried to blow it up; and it came out completely intact. The problem I'd imagine is that I doubt such a container is cheap to build... But the point is we have the technology to safely transport radioactive waste safe from pretty much any kind of accident except the accidental bunker buster landing on it.