Jews, since Israel is 75% Jewish.
When you discount the Jews, you are discounting the overwhelming cultural diversity that the Jews brought to Israel as a collective. (It would be like saying "Aside from the Whites, what racial group mostly influenced the culture of the USA?). However, the answer is that the Palestinian Arabs were the ethnic group that influenced the culture of Israel most strongly.
Bengali
The french.
Secular Jews currently. But because of their low fertility it is believed that the Orthodox Jews and Arab citizens (which reproduce rapidly) are going to have the strongest voice in a few dozens of years.
White Europeans in general have the most sway over America's food culture.
The answer you are likely looking for is: Jews. However, this asserts that Jews are a monolithic group, which is incorrect and negates Israel's minority influences. Every Israeli ethnic group influences Israel. Since Israel is a democracy, all of its various constituent peoples have the ability to raise their voice and run for political office. Since Israel has numerous parties and coalitions need to be formed to govern effectively, even small parties can have a strong and powerful say in the government. Some ethnic groups with influence in Israel include: Secular Liberal Israeli Jews, Secular Conservative Israeli Jews, Nationalist Russian Jews, Orthodox Ashkenazi (European) Jews, Orthodox Mizrahi (Middle Eastern) Jews, Druze, ethnic Palestinian Muslims, ethnic Palestinian Christians, Bedouins, and Circassians.
The ethnic group most Hungarians belong to is Magyars.
by numbers whites mestizos
The modern state of Israel is multi-ethnic, containing Jews, Israeli Arab Muslims, Israeli Arab Christians, Druze, Bahai and Samaritan communities. Most people on encountering someone from Israel assume that the person they've encountered is Jewish.
The ethnic group most Hungarians belong to is Magyars.
Arabs is the largest ethnic group in the middle east
If you mean an ethnic group in Hungary, how about ethnic Hungarians, or Magyars? The largest minority are Germans, Roma (Gypsies) and Slovaks.Magyars is the answer if your doing A+