I do not know what all these groups are, but I am surprised no one has defined the difference between Zionism and being Jewish. I cannot give and adequate explanation here, but the rough-cut version is this:
"Jew" is a short-hand term for people who can claim ancestry to the Hebrew tribe of "Judah". Technically, the tribes of Judah, Benjamin, and Levi were the only tribes to return to the area around Jerusalem after the Babylonia captivity and the conquering of Babylon by Cyrus of Persia. Cyrus of Persia (which is interestingly enough Iran now) released the captive Hebrews for the loyal service of Nehemiah. Benjamin was a small tribe and the tribe of Levi was the priestly class and they all collapsed into the tribe of Judah as the only survivors of the Hebrews, so to speak. This group was disperse by the Romans because they were a very unruly people and refused to be absorbed into another culture. The Second (or is it Third Diaspora) occurred after the fall of Jerusalem, I believe under Trajan. [The First Diaspora might be considered the destruction of the Northern Hebrew Kingdom by the Assyrians, dispersing the other Hebrew tribes that never returned, the "Lost Tribes of Israel"; the Second Diaspora might be consider the carrying away of the remaining tribes to Babylon).
Zionism is a religio-political belief that it is "destiny" that the Jewish people reclaim their former land and re-establish the Jewish state. It is not really religious, but it is hard to separate a religious tradition from blood-line when it comes to the Jewish people. In some sense they believe that God has promised them this land and they have a right to it, but in reality it is hard to say if all Zionists believe in God, but they do continue to believe in the rights to their land. You might also say that they, like Americans of a certain era, believed in "Manifest Destiny", in their case, that they should have Gaza and the West Bank of Jordan, but I don't want to start animosity. As a political entity, I believe Zionism in the modern version started around World War II. Of course, I may have some facts incorrect.
Anti-Semitism is a slippery term. I think that from a technical point of few, Arabic and Jewish people are Semitic because they draw their lineage from Abraham. But, again from a technical view, not all Middle Eastern people are Arabian, as the modern press confuses them to be. For example, many Iranians are from Persian descent, not from Arabia. The press tends to mix "Arab" with "Moslem" and "Islamic". This entire controversy is only a monumental example of the "stupifying" of the people of the planet Earth.
In the end we are all "Human Beings" and are the same.
I think most people must be hoping for a world-wide cataclysm, because so far the world seems to becoming a smaller place through our technology and it behooves us to become more tolerant and friendly toward one another than more hostile. Maybe I am looking at things in the wrong way.