I think so.
Listen I'm Jewish, I'm in the UK usually 2-3 times a year and I have a ton of Jewish friends there, I don't really get the sense that it's a huge problem there. Even that report (and I'm not over familiar with the CST, but organizations like this in the US tend to overreport the shit out of those things, that's how they get their money) I don't know man, racism sucks and you must have zero tolerance at such things, but it's mostly shouting racial slurs, writing offensive graffiti and throwing eggs at cars. There are handful (literally, never more than 5 a year this century) of actual violent attacks against jews a year, it's terrible, but I really don't think being a Jew in the UK is terribly dangerous nor do I think anti-semitism is a huge concern for Jewish people living there (FWIW it's definitely not a concern to me when I'm visiting or to my friends who live there).
But that's besides the point really, we were talking about Ken Livingstone, still not sure how he or even Naz Shah (if we're going to inception that shit) are anti-semites.
Again, I'm not super familiar with everything they said, I'm pretty much going by the link you provided me from The Guardian, so feel free to educate me on the issue.