Hiroshima was the main logistical center of the region. It was also the military headquarters for Southern Japan. In other words, it would be the same as taking out the Pentagon, as well as the main US supply depot all at once. How is that not military?
And Nagasaki? Are you serious? The largest shipyard in Japan? Where the Yamoto was built, and they were scrambling to build suicide boats and subs as fast as they could? "Not a military target"?
Here, look at this a moment:
That is a drydock at Nagasaki Shipyard after the surrender. Normally used for building battleships, here you see it full of 2 man submarines. These were all being built (and there were 2 more drydocks similarly full) for the purpose of using them against Allied forces as they landed. Over 150 of those subs are just in that one drydock, almost 500 already built and more under construction. Do you really think that is not military?
I would clearly state that 500 suicide submarines in a single location is indeed a military target. And anybody that says otherwise is a "structural moron".