Before I begin, let's discuss the differences between an average Jew (like you and I who adopt the religion) and a Zionist. One is a normal person with normal beliefs, the other is a far-right person who takes his beliefs to the extreme. Think of it like a normal Muslim and ISIS, there's a pretty contrast difference there right?
1. Jews are statistically more likely to be richer than a person of any other belief system, with the majority of rich people being Jewish. There's historical examples of rich and affluent Jews from both the past and current events (Ukraine, Syria etc) using their power for nefarious reasons. Should the majority be judged based off this minority? No, but like any form of racism it's always a minority's actions that in the eyes of the racist is the majority.
2. Judaism. It is far from a peaceful religion, it teaches the belief that adherents to it are inherently superior to others. Do most believers actually believe this? No. But here's where I'll bring up the first point, Zionists are people on the far-right political spectrum that're willing to go to any lengths to see Israel stays as a state. Since the Balfour declaration (I'll discuss that down below) until today, Zionists have done practically every thing imaginable regardless of it's legality to expand the state of Israel. From terrorism in other countries, assassinations and just general violations of international law - Israel's leaders might portray themselves as the victims but it's a two-way road.
3. History. While the number of reasons I listed before was the reason for the rise in anti-antisemitism, it wasn't until much later (late 1890's) that the political ideology of Zionism started. Following the outbreak of the first major World War, British politician Arthur Balfour tried to drum up support from Zionists in Germany as the growing influential ideology was already in the minds of the elite - basically they helped Germany lose WW1 in return for promised land in Palestine. Before this, normal Jews and Muslims lived alongside each other just fine in Palestine. It was peaceful. It was only after what was deemed to be an illegal violation of international laws, assassinations and building settlements that was not on party of Israeli promised territory that nearby countries joined in a coalition and attacked Israel unsuccessfully.
I have absouletely nothing against Jews, but historically there's more than enough reasons for people living in the Middle East to hate Jews and Israel. I don't think you can justify the reasons people have for hating Jews so simply as "well they're Muslim" or something simple-minded like that. By the way, I'm an atheist who's neutral on religion.
https://en.wikipedia.org/wiki/List_of_attacks_on_diplomatic_missionshttps://en.wikipedia.org/wiki/List_of_Israeli_assassinations
http://www.israellawresourcecenter.org/internationallaw/studyguides/sgil3.htm