That Church is less than 1mile from the centre of the blast; I don't know where you're getting your information.
Your facts regarding Hiroshima, and also what you imagine to be true, seem to be unsubstantiated; I haven't bother to research your claims regarding Nagasaki.
Actually, that misunderstanding comes from my inability read a map right. I was looking at the projected Kokura site, instead of the blast site of Hiroshima. My bad.
They HAVE expressed an openness to sit down and talk though, but if people take your view, that because they haven't expressed an openness to specifically compromise on the issue you're interested in what's the point of sitting down to talk; who really isn't being open?
"I WILL sit down and talk with you about why I'm not going to do what everyone wants me to."
"That doesn't change your mind?"
"Really?"
The issue of the right to build is all but answered; they have the legal right.
All but answered? It is absolutely answered, when and if they get the rest of the property secured, then they can build whatever they want to on that spot (within legal reason).
So the only remaining issue is should they, should they be allowed to try and foster education, understanding and community spirit for the good of all?
They should/will be allowed to build it.
As far as the stated goals? If they had responded to the issues with humility and agreed to move elsewhere, it WOULD have fostered education, understanding, and community spirit for the good of all. Currently, they are fostering hate. They have made it appear as if their goal is to build as close to the Twin Towers as they can. They have made it appear as if those stupid people claiming it is a "victory mosque" are right.