I think they're mistaken on the war, but in my vidw there's no conflict between opposing the Iraq war and being Jewish. You're simply wrong on a political issue.
It goes deeper than that. The people the US is fighting are the
mortal enemies of Israel and Jews everywhere.
Would there have been a conflict between opposing war against Nazi Germany and being Jewish? (Rhetorical question, yes, but very pertinent because both Nazi Germany and the Islamofascist axis have as proclaimed goals the destruction of the Jewish people!)