I need another way of saying "continuing debate" Can it be.. Never ending argument? Does that make sense? :/

Between whom? Debate and argument are not necessarily the same thing. Same with continuing and never ending. Depends on who and the context.

"Kenneth M. Stamp presents the full range of the continuing debate on the issues and events leading up to America's bloodiest conflict, skillfully integrating the conclusions of historians with the writings of the men who were part of the struggle."

How about "ongoing hassle"?

"Kenneth M. Stamp presents the full range of the continuing debate on the issues and events leading up to America's bloodiest conflict, skillfully integrating the conclusions of historians with the writings of the men who were part of the struggle."

How about "ongoing hassle"?
Are these your thoughts or have you taken them from a website and are tweaking them?

Does it matter?

Does it matter?
Yes. If you didn't write it, you are cheating, plagiarizing.