To what extent does Judaism play a role in the state of Israel?

I’m writing a paper on Israel, and one of the questions is this. (It’s translated from danish, but i hope you get the point.)
Investigate to what extent Judaism plays a role in the Israeli state since 1948, and discuss whether the Israeli state is moving towards a more religous direction.
I was wondering if any of you could help me with this question, because i’ve been stuck with it for quite a while now. Any useful websites or litterature (preferably something i can find on the internet.) would be great!
Thanks in advance..