The secular/chiloni Israelis, especially the elite, hold Sephardim in contempt. Just like they hold the Torah in contempt r’l. Baruch Hashem the frum Sephardim and frum Ashkenazim in Eretz Yisroel get along splendidly together with each other, just as the frum American Sephardim and Ashkenazim in New York, Lakewood, Deal, New Jersey, etc. get along spectacularly with each other. Both in Eretz Yisroel and in America you will find Sephardim in most Ashkenazi yeshivos, especially the top Ashkenazi yeshivos.
Unfortunately the secular/chilonim in Israel, in a feeble attempt to justify and cover up their discriminatory anti-Sephardic policies in the State of Israel, its universities as well as private industry, falsely accuse the frum of Eretz Yisroel of also having some sort of bias against Sephardim. It is laughably false. But they, especially the anti-religious media in Israel, never cease making their false allegations.