Do keep in mind that basically every single Israeli goes through military training, which includes training in psychological counter-warfare (hasbara). Even the 'cool' Israelis you know in real life are spies at the beckon-and-call of Israel 24/7.

What I'm trying to say is that this is an intentional part of their strategy. They know what they're doing.

They probably have a small detachment assigned to every popular-ish website. For the long tail, they have bot farms.