This isn't the Cubs logo. It's the copyright symbol.
Copyright is defined as "The legal right granted to an author, composer, playwright, publisher, or distributor to exclusive publication, production, sale, or distribution of a literary, musical, dramatic, or artistic work."
Anyone can copyright their work; there is no need to file any type of legal document to do so. Simply including the copyright symbol on your work means that you own the rights to said work, and it is your decision as to how your work shall be used. You'll notice that I have included a copyright symbol in my journal description. I have no problem with anyone who wants to quote me and attribute the quote to me, but copying what I write and using it as your own writing is not cool with me. As far as I know, I've never used a picture that was copyrighted, but if the artist or photographer is mentioned, I will make sure that I include their name in the picture.
Artists have every right to control how their works are used. Whether it's art, literature, or music, the artists own the rights to their creative output, and if they have diametrically opposed views to someone who is using their work without their permission, they have the absolute right to stop such use. Even if the artist completely agrees with the user's viewpoints and opinions, they still have the absolute right to refuse the use of their work.
Exercising such rights is not censorship; it is simply the control of the words, music, or art that the individual or artist has created.
A hypothetical question for you. Most of you who read this blog also write a blog. How would you react if someone quoted your writing, word for word, and posted it on another site? How would you feel if they used your words--perhaps with some creative editing so that your meaning was twisted--on a site that you found abhorrent, such as a neo-Nazi site, or Lynchings-R-Us? You would object, right? So would I. So would anyone who has created any type of artistic effort and watched as it was used without their permission, especially on a site that they found morally reprehensible.
Censorship, to me, is more like someone attempting to remove words, lyrics, or art that they deem offensive from public forums and institutions such as newspapers, museums, movie theaters, etc.; stopping someone from the right to express their own opinions; trying to ban a radio or TV program; or trying to ban books from the local library because they find the words contained in those books offensive.
Copyright infringement can in no way be equated to censorship.