There are an infinite shades of grey in Israeli society when refering to Judaism. I have noticed in my 20 years here that many peoples perception of their own Judaism is rooted in their upbringing. A person who is for all intents and purposes is secular, will describe him/herself as traditional because of family ties and commitments. On the other hand I know former Kibbutzniks who describe themselves as secular, despite the fact that they observe kashrut, light candles on Shabat and fast on Yom Kippur.
Woman moderately wounded by firebomb thrown at her car in north J'lem (Haaretz)
from the article: Poll: Fewer than half of Israelis see themselves as secular