What has pisses the lefties off most is Dylan’s deeply pro Israel position.
Maybe he will do a song on Jerusalem sometime as part of his continual spiritual journey between the Jewish / Christian he has traveled throughout his lifetime.
This pisses the Left off now, but in the 60's it didn't necessarily do this. Many New Left figures were pro-Israel (seeing Israel as a socialist state in the "reactionary" Middle East), though others (such as the Black Panthers) were fanatically anti-Israel.
As recently as the 1982 Lebanon War (under right wing PM Menachem Begin) Jane Fonda and Tom Hayden entertained Israeli soldiers involved in the conflict.
The hard Left internationally was almost always (except for a brief period in the late 40's) anti-Israel, but for some reason the American hard Left was an exception. I'm not quite sure why, but I'm sure this would not have been so had Moscow not wanted it that way.