Assuming such an organization existed, what would stop someone from using their name, logo, etc. to also promote enhancing IP law and undermine they’re entire message? Presumably they wouldn’t be so hypocritical as to sue you for that, would they?
Even besides you mixing up trademarks and copyrights, subverting the existing system in order to achive the opposite is not inherently hypocritical. E.g., the GPL is a copyright license.