If Russian espionage forces were infesting US government, extorting and blackmailing American politicians, pushing US government into war, and someone referred to it as a "Russian Take-Over of America", no one would consider that an attack on every Russian alive. No one would be blaming Boris who sells Knishes on 49th Street.
Similarly, if a Muslim or Christian terrorist was referred to as a "Muslim or Christian" Terrorist, would that somehow target every Muslim or Christian? I hardly think so. So why is using 'Jewish' as an identifier all encompassing?
You have a point tho, saying 'Israeli' would have been more apt, no? But it's kinda just semantics.