Can Israel and its supporters not take criticism? Well perhaps that's not the question here. Its seems that Hannah Rosenthal and J-Street cannot take criticism. Too thin skinned perhaps. Perhaps they just don't like anything getting in the way of their message: they are Hebrews, not like those nasty Zionist Jews.
Netanyahu condemns West Bank arson attack, calling it 'terror' (Haaretz)
from the article: U.S. official's criticism of Israel ambassador sparks furor