Exactly.
It reminds me of the story of Lucy Aharish.
Lucy Aharish is the example, and basically became a symbol in the past years, of the modern Israeli Arab woman.
She was born in Dimona to Muslim parents, who were at the time very strict about their will to lead peacful lives away from politics. They wished Lucy to be like any other Israeli child, but never forget where she came from- and therefor along with the Muslim holidays and culture, she learned about the Jewish holidays, culture, and history, and was educated in a Jewish school.
When Lucy was six, she drove down a side road in the Gaza strip, and by clothes, dress, and modern vehicle, Palestinians mistaken the family driving as a the average Jewish Israeli family, and thrown a Molotov Cocktail on the vehicle. The father's cries to the terrorists "We're Arabs! we're Arabs!" didn't change anything, and both Lucy and her sisters were critically wounded when the car was set on fire.
Lucy was saved, but seriously traumatized. She said that up until today, she cannot understand where does this barbarity comes from, Arabs killing Jews, Arabs killing Arabs, she said that at times she is ashamed to belong to such people.
Growing up, Lucy finished BA on social work and theater in the Hebrew university in Jerusalem. She studied journalism and media in Germany, and was the first Israeli Arab to broadcast news in Hebrew.
When being asked- "How do you define yourself? Are you Israeli or Palestinian?' she said "I define myself as an Arab living in Israel. I adopted the Israeli culture and this is who I am"