Campbell, who lives in Bath, Somerset, also had a Twitter row with the sister of a Hillsborough disaster victim. She claimed he was blaming Liverpool fans for the tragedy that left 96 dead.
Campbell, 45, a video games journalist who calls himself Reverend, has had online dialogue with senior Yes Scotland figures, including Kane and leader Blair Jenkins.
Campbell also argued with Lynne Fox, the sister of Hillsborough victim Thomas Fox.
He tweeted: “If people stop when they get to a wall of human beings instead of ramming it, nobody dies.”