Don't they ever learn? As with the Corbyn Labour Party, so with the BBC. For the Zionist lobby, no amount of kowtowing is ever enough. You'll still get labelled as antisemitic.

Shut down alternative Jewish voices - anti-Zionists, non-Zionists and even dissenting Zionists - , claim that the 'Jewish' state represents all Jews, pretend that there is one 'Jewish community' and that all Jews think the same (and if they don't, they are not 'real' Jews)
and this is what you get.

People come to erroneously blame all Jews, wherever they live, for the actions of the Israeli state. You end up increasing the antisemitism you say you are against. If you are doing this deliberately and knowingly you are playing a dangerous game.