The groups' raison d'être is much more narrow. It is attacking Israel while minimizing Palestinian responsibility for the ongoing conflict.
Here's the latest example of MuzzleWatch ignoring censorship that doesn't fit in with their anti-Israel message. The Jerusalem Post reports that
The publicly funded Multicultural Center's (Werkstatt der Kulturen) decision to remove educational panels of the Grand Mufti of Jerusalem, Hajj Muhammad Amin al-Husseini, who was an ally of Adolf Hitler, from a planned exhibit, sparked outrage on Thursday among a district mayor, the curator of the exhibit, and the Berlin Jewish community.
The curator, Karl Rössler, told The Jerusalem Post that it is a "scandal" that the director of the Werkstatt, Philippa Ebéné, sought to censor the exhibit
Predictably, there hasn't been a peep from MuzzleWatch.
I can't help but wonder, though: Since MuzzleWatch and its ilk like to argue that critique is actually "muzzling," perhaps they'll say that the Berlin Jewish community's "outrage" over the exhibit's censorship is itself censorship. Now wouldn't that be as convoluted as an MC Escher drawing...