I hate this reblogging feature!! My blog often consists of photos and related text/poetry, and to make the blog private defeats the point of having it. A 19-year-old WP blogger whose home page consists entirely of reblogged material has reblogged my copyright material. When I politely pointed him to the copyright notice and asked him to take the post down he refused, and said WordPress is intended to be a reblogging site and he's therefore allowed to use any of my material he wants, and because he has included my name and a link back to my page, he isn't infringing on copyright. But copyright means not to copy!
I realize I can't control all theft by copy and paste, but why does WordPress contribute to the problem by making unauthorized use of material so darned easy. Reblogging by this kind of usage is not resulting in more traffic to my site, nor would I expect it to appeal to this particular blogger's followers anyway.
You've told me the reblogging option can't be disabled. But why can't the reblogging option be handled like a subscription by e-mail, or Links to Facebook and/or Twitter buttons -- i.e., as an option to be inserted like a widget in the sidebar only if the blog owner chooses?