One is actually non-Orthodox, which can encompass a spectrum of observance; the other is typified by the Israeli who asks "Why would I attend a synagogue? I wouldn't even know what to do in one", yet does not feel awkward visiting churches or mosques, 'cause that's cosmopolitan. What I conclude from the article is that the Jewish population of Israel breaks down roughly this way: a third Orthodox (I don't distinguish between ultra and Modern); a third traditional; and a third secular, with the latter two combining to form a group called "non-Orthodox". Simple.
U.S. confirms ISIS computer expert killed in air strike (Reuters)
from the article: Poll: Fewer than half of Israelis see themselves as secular