An anti-Kolinahr demonstration was a protest against the Vulcan discipline of kolinahr.
Sometime before 2401, there were a series of anti-Kolinahr demonstrations on Aklion VII. Because of these protests, no Vulcan would visit the planet and considered it blasphemy.
In 2401, Seven of Nine mentioned the demonstrations when talking to "Tuvok", and was surprised at his willingness to meet her there when she requested it, a test that helped expose his true Changeling nature. (PIC: "Dominion")