Sorry but anti-semitism is more the province of the left. Just look at the recent Time magazine cover and article. supersessionism has nothing to do with anti-semitism.
You are right that anti-semitism--at least in its anti-Israel form--is more the province of the Left. But there are many flavors of supersessionism and I would expect the 'Dove' folks to be on the fringe. Perhaps even as far out as the Identity folks.
Unfortunately I can't research that because their servers have been shut down, reportedly for violating their ISP's 'hate-speech' rules. While I loathe the position that Dove has taken, I am even more concerned about 'hate-speech' rules. That is a very slippery slope.