Secular Judaism can and should be a part of Israeli Judaism. Look at Donniel Hartman Article advertised on Haaretz.com homepage. As for secular education, see the Hartman Institute Be'eri program bringing Jewish education to thousands of Israeli HS students these days - http://beeri.hartman.org.il
Several injured after Jerusalem protest march against Al-Aqsa restrictions dispersed (Haaretz)
from the article: Former Shas leader: Secular Jews brought us 'Big Brother'