One quote in particular stands out. Teddy wrote, "Every reform movement has a lunatic fringe." That seems a pretty apt description of Batman. However, I do not think President Roosevelt was a member of the lunatic fringe despite what the hardcore Republicans thought of his Progressive movement. The quote is from Roosevelt, Theodore (1913). Theodore Roosevelt: An Autobiography.
This quote indicates that Teddy recognized that sometimes people with the best of intentions can go farther than they should. I wonder what he would have thought of Batman?